Grabbing someone to set up a CG, I would argue, is harder to do in Melee since if you spaced properly and/or l-canceled, you could keep your opponent from grabbing you.
In Brawl, there is no l-canceling, so all you can really do is space.
Furthermore, there is less shieldstun, so people can grab you before you are even able to weave away from them in order to space.
Seriously, you can pick Dedede and just mash grab out of shield and win since the CG to f throw does 30-40% almost everytime and sets up for an edge guard (against certain characters).
Also, Melee was a lot faster, so you could trick your opponent, and keep them from being able to "catch" you in a grab by overwhelming him with speed. Unless he was also good, in which case he could do the same in order to achieve this grab.
In Brawl, Dedede can just literally run around and just spam grab against certain characters and obliterate them with almost 0 thought.
Personally, I would prefer getting Melee chain grabbed over Brawl chain grabbed, since Melee chain grabs involve a little DI reading ability, and some tech skill, where as in Brawl you have 0 control over your character after grabbed, and the throw is going to happen the same over and over.
It is these attributes, the notion of Melee: Training Wheels Edition, that I feel a majority of the pessimism comes from. It's like Sakurai saw us playing Melee and was like, "Awww, isn't that cute....BUT IT'S WRONG!", and then plopped Brawl down in front of us, patted our heads, and said, "Now pway nice you cutiepies."
Sakurai, pretending to be a cowboy.
I don't think anyone likes being talked down to, but I guess Nintendo seems to think we do.
Basically, they made the broken even more broken, but easier to do. So it's Melee minus the cool. I mean, for god sake, they made CAPTAIN FALCON LOW TIER. I rest my case (Jigglypuff pun).