Yes and no
Between my changing tastes*, improved hardware, improved design methods- for instance books, audio and video/visual media have long been students of some of the more interesting aspects of psychology where games, at least generally speaking, have only recently found employing them helps and related fields to the various things I mentioned the question is quite difficult .
*perhaps the wrong word- all I know is as things go on I see things I like that were not done/as polished before and that just makes me want more and in many ways I am inclined to not necessarily overlook the old stuff but treat it as a toy- some say chess "devolved" from more general warfare strategy into a game with rules and in doing so became a true game which is pretty much how I feel I about many older games. All I will say is I do not just want the Matrix- I like pissing in the face of physics too and I definitely enjoy weird games (finished the void recently- the game sits in my top games list despite objectively not being that good).
I played GC mario kart the other day and was half expecting a time portal to open up and future me to slap me on behalf of 2005 me. I suspect though that it was not so much I was worse just that I was unpractised.
Same with some platformers- mainly some of the GB megaman games although it all came flooding back to me.
Spatio temporal- far better although I have hammered CAD and physics for many years now. (link for the sake of linking
http://fold.it/portal/ ).
Interestingly some of the "impossible" or unintuitive stuff has become somewhat easier as well- thinking things like 4d, complex/impossible shapes and time based stuff has become easier.
RPGs I am not sure about- back when (I did not meet roguelikes until I was a bit older) strategy might have amounted to using fire on ice skeleton where today it is a bit deeper so I am unsure how to call this. I will say though where once I might have sat grinding I instead opt for (risky) strategy so if you looked at win/loss stats or similar simplified metrics you could possibly be forgiven for seeing a decline in ability.
Same for strategy games although I am increasingly ambivalent towards micromanagement- I would not want to lose it, I dislike the automated stuff as it presently exists and I do not really care for it.
I have yet to play a good MMORPG which I am going to define as one that if soloed could be said to have mechanics that hold up so I am ignoring that- the closest I have ever got is something like Savage.
FPS games I am discounting as I was around for Wolfenstein 3D and everything since- I have never played one enough to bother memorising levels that well, reload times, spread patterns or anything like that. I have however found myself drifting towards third person or FPS games where guns just happen to be included rather than forming a central mechanic (I will pick S.TA.L.K.E.R. over COD although I will also pick bulletstorm over COD- this is not to say I do not enjoy parts of COD either- I think it was the multiplayer MW2 game where you are in a restaurant/petrol station with thermal optics is probably one of my favourite "minigames" as it were of recent times.
I have always messed around with games and made meta games from others although it comes from a different place today (such a thing is about as close a realisation that I might have grown up)- it is probably why I find achievements so pointless or even insulting. This being said I pulled things apart as a child and today I am a reverse engineer/person who repairs things as a matter of course.
Short version- it is kind of like fighting- the first few times you get tunnel vision and your ability to form complex strategy is non existent, later your concern is just how to relieve your opponent of breathing privileges with minimal damage to you and after that you start thinking about how to win and not wind up in court having to explain yourself or how to cause your opponent(s) to be in and out of hospital for the next 20 years and make it look like they tripped and did it to themselves. This however has nothing to do with immersion for me- the right game can still tune me out of the world around me.
When I was young it matched the former
When I was a greasy teenager more or less the middle (or at least that is why my memories and subsequent replays are telling me)
Today as I leave middle age the latter applies.
If that analogy does not do it for you consider an intellectual pursuit- say coding, fixing things or maybe learning something before returning in a couple of years and thinking "this troubled me.. how embarrassing/pathetic" or "I managed to convince someone to pay me to do this... I think I might have scammed them/been a bit heavy handed (my spares draw is now full of stuff I could have repaired today but 5 years ago I replaced wholesale)"- this cuts a bit deep for me right now so I will move on.
The net effect of such things though, at least with all games until present, is minimal though (see grinding vs strategy) and in many ways I do not consider this a bad thing beyond my maybe having a couple of games on the go at once which I find odd in some ways although same idea as reading and watching TV, driving with the radio on and so forth but here it is a game of tetris or something on when playing a "bigger" game.