I don't think simple petitions will do much, mainly as they never do anything.
Whether a game gets ported or not depends somewhat on
1) Potential sales.
Many factors here including number of devices sold and projected to be sold, typical number of purchases per device, age of owners of devices (is the Switch a kid's toy? Those that grew up with a wii are likely greasy teenagers now so who knows), licensing concerns (and contracts can get very weird here), likelihood of repurchase ("but easily portable" is not the biggest draw), console owner cut (if Nintendo takes a slice of the pie, or worse still has to get paid out before they start giving over money then yeah), extent of online (the Switch's online is pathetic after all), competition with themselves, marketing budget competition from within themselves, competition from others (would xenoblade chronicles have been a hit on the 360 where it would have been one of many such games? On the wii where there was nothing else then it changes a few things), competition from other games (if nobody has any money you try not to release near a new COD or something), viability of project (a profit of £50K is nice, if I could have used the same team to make £500K then my shareholders will be yelling at me for losing £450K), and that has barely even started to cover things. Nintendo are also a third or fourth rate player depending upon how you want to consider PC, maybe even lower if andrios gets thrown into the mix and your game could work there,
2) Ease of porting. Power wise I would say it could take most PS360 games and things made for weaker devices, though there may be exceptions. PS4 and xbone will be a case by case and may require more extensive efforts.
These days it is more uncommon for engines and technologies to be made from the ground on up so if the fundamental technology of the game (and you can buy in graphics, physics, whole engines and more besides). If said engine is not ported then look at that, it might also be that the engine is no longer supported and only the newer version (which may not have been ported) will be being used. Such a thing may kneecap you there and then. Equally how fun it might be for your porting groups ("ported [blah] which uses [common engine] to switch" is probably not a terribly exciting thing to have on your CV if there are other cool things happening at your company.