So yes, there are people out there with problems. The game's MP is not perfect at all.
The online actually has some really good admirable features. I have a really slow internet connection but the online games are usually perfectly smooth and lag free. Another great trait of the online is how fast you are connected to opponents. I've played a few other fighting games online and the coding for those games is terrible e.g. UMVC3, MK9, SFXT.
On the other hand...
I have never experienced this many glitches exclusive to the online features of a video game. UMVC3 has terrible, horrid connectivity online. There is so much lag that some combos are utterly impossible, but when I play UMVC3 online there are no glitches. My opponents will never teleport around due to connectivity issues. My character will never have infinite invicnibility / invisibility frames during a match. And finally my rank will change slowly over a number of matches instead of drastically over the course of one match.
TLDR: There are many things wrong with this game but let's not forget that PSASBR is smooth as **bleep** online.
In my findings, I have found that sometimes when I start plying online i will get a few conection problems here and there but after 3 or 4 games I have no problems what so ever.Its almost as if it acts like your warming it up a little..Havent got anough probs to get me compaining to superbot about it though..