Your system menu IOS' are patched, I'm guessing from a ModMii install done by importing the syscheck into ModMii? Shouldn't cause any issues though.
Other IOS look fine.
You are forcing the IOS with Priiloader though which essentially does the same thing as cIOSCORP/DARKCORP (but less invasive)
As for the question in the OP - I've done this before and I can't recommend it. Some games are just not compatible with launching from the disc channel like this and worse is, even legitimate copies of those games will not work anymore since they are still being forced to run with cIOS.
I had my brother's Wii set up this way until he complained he couldn't play Skyward Sword (I guess it's due to the Motion Plus support, all games with Motion Plus needed special support in cIOS and USB loaders to block IOS reloading). They don't work with the Backup Loader channel either (the one that just loads a backup disc automatically on start)
However, in my experience most games should work, so it's strange that they don't for you. Still, it's not a good method, so you're better off installing a forwarder for NeoGamma and just using that.
Lol just noticed "Beer Ticket" on IOS236. Never noticed that before.