I never had these issues with Catching Pokemon as most people seem to (except with Legendaries, but those are kind of different), but I do think that having to knock out a Pokemon before given the chance to catch it or not would be interesting. Just as long as a Pokeballs would then act like Heal Balls (which are otherwise worthless).
Re: New Stat System?
This is a lot of effort to mix up the stat system for a game that's supposedly not going to take over the franchise later. There haven't been any changes to the current stat system since Gen 3, except for Gen 5 letting you gain EVs after Level 100 and Gen 6 making the EV Cap 252 instead of 255; why change it for a game that's also supposedly not for the people who take perfect care of their party's EVs? It's like Game Freak is marketing this game for the casuals, and yet a number of changes to the mechanics are things that would "only affect the competitive players".
Regardless, the +1 on the level up screen to me looks like a boost to the raw stat itself, and nothing to do with EVs. Why would that Bulbasaur have not went up to 32 HP if that really was an extra point on the Level Up? My best guess is that Candy is a simple +Whatever to the raw stat (since there are apparently different sizes of Candy, could be +1, +3 and +5, for example) and that the level up scene (for whatever reason) shows you how much your Candy is boosting your stats by.
Also something interesting: the levels of the party being shown are kind of on target for a real playthrough of RGBY, and even FRLG. Blue's team in both Yellow and FRLG had an average of Level 60, whereas this player's team's average is Level 59. Could the amount of EXP gained really have been jacked up (I have heard about catching Pokemon yielding more EXP than actual battles)? Could the EXP Share being on all the time really have done this (then again, my XY party really was at Level 80 on average by the Elite Four on the first playthrough, and I swear that was without grinding, but having the EXP Share on all the time because I didn't know better)? Or could these screens be of the late game, if not the post game that probably doesn't exist? Which would be a really weird time to show off a feature you're trying to sell your game with, and one that'll apparently be present throughout the entire adventure. Or I guess the levels could have been kept the same, just that there's no walking into a Gym that's like 30 Levels above you because Kanto's no longer your oyster once you get the Cut HM (or whatever move with a stupid name replaces it), but still.