Personally, while playing 4 way, I actually have gotten better at my normal chess games. in Daily, I have risen 200 in my rank. . .
Has playing 4PC impacted your standard chess play? How?

I'm finding that 4PC makes it much harder to come up with a plan. That is not good for your chess game. Team play does allow for more effective plans. You might want to concentrate on that.

In my case I have seen an improvement in my 2 player after playing 4 player. Mostly with spotting traps and looking a little deeper (note I don't play much fast chess so I do have more time in 2 player to look). I will say that the first week back from a few weeks of playing 4 player at the beginning I took a big hit like Kevin expressed. I found I needed to reset my mind on the basics for 2 player (stop playing as aggressive, build up, control the middle 4 squares, etc. Once I reset my mind then I saw the positive come through.

I have gotten much better because I have learned to spend time wisely and think faster. I have grown better at spotting weaknesses and finding plans. When you have to beat three people on a huge board, you get a sharper eye for tactics. I find all variants improve normal chess. Variants make good drills!

4 player chess makes you think differently from 2 player. In 2 player, you're mostly focused on what's in front of you and your pieces are best coordinated towards control of the center. In 4 player, the player across from you is the least of your concern (unless you're playing teams); it's the two people to the side of you that you need to worry about, because they can attack you almost immediately. Protecting the flanks is very important in 4 player. And, of course the "enemy of my enemy" aspect changes things too; do I need to worry about green's threat, or is blue about to take care of it for me by giving green a bigger threat to deal with?
I'd also that us play a bit more defensively that in two player, since you're technically outnumbered 3 to 1.
I'm a relatively-weak chess player; curious to see if my experience matches that of others. After many weeks of playing 4PC, I've felt an acute decline in 2PC performance. I attribute it to the following factors:
1) The 2PC board just feels more constrained/compact. It's hard to describe exactly how this translates into poor performance, but that each move has a feeling of tripping all over myself, blocking myself in, etc; and (to a fault) I'm inclined to "spread out" for the sake of spreading out (not for any tactical advantage).
2) 2PC is MUCH less forgiving than 4PC. In 4PC (at least, at the 1400-1600 level of play), blunders are frequently overlooked or ignored, as other players may have more important things to worry about than grabbing a hanging pawn/knight/etc.
3) In 4PC, I think tactics are de-emphasized. Because there will be 3 moves between each move you make, sharp tactical lines are inherently less likely to pay off and more likely to backfire. I've found better 4PC outcomes with "just-play-it-safe" compared to e.g. "try to lay a sneaky trap for blue" (that falls apart when green and red go "off-script"). This mentality seems to have bled into my 2PC games... where it amounts to a "sitting duck" strategy :-) In fact, anecdotally - I've even found the 2PC "tactics puzzles" to seem more challenging while playing 4PC.