Yes, but these days he only apparently only exists on Earth-49
Yeah, but he and Baba Louie and Muttley are all par tof the "These people are already supposed to be dead" group.
And even if they aren't, don't forget that Dan DiDumDum has specifically stated that just because it looks like Castor (or Olive, or Snagglepuss) it doesn't mean it's OUR Castor (or Snagglepuss) This is a totally new multiverse that supposedly has tangentially little to do with pre-IC continuity, let alone pre-COIE.
I didn't mean to imply that Quicksdraw and Snagglepuss are going to be part of Earth 49 continuity. To the best of my knowledge he, Magilla Gorilla, Squidly Diddly, Atom Ant, Wally Gator, and at least the silver-age Secret Squirrel will remain on Earth-HB, the alternate dimension connected to Earth-4 (that's the Charlton Heroes isn't it?) the way Captain Carrot's Zoo Crew universe Earth-C is related to New Earth(*1*).
Of course, we haven't seen any stories set in these realities yet, so we don't know if Squidly is still the cross-dresser he was in the Vertigo version, If Wally really does eat any (and or all) of the children he fathers as he did in the horror comic mini, or if Magilla Gorrilla was ever the Rabid Vampire he became in the Wildstorm crossover.
I never accepted any of these as canon, and despite the fact that I am a huge fan of the 5YG Yogi Bear stories (I especially liked what they did with Augie Doggie and Doggie Daddy) as I think they grew naturally out of the tepid stagnation of the first few years after COIE, I would rather have the world reset than keep perpetuate the badness further.
For example, I personally would rather the mylar-age Secret Squirrel be revealed as the illegitimate son of the original that he was hinted to be in the '82 mini-series (and all but acclaimed to be in 1989's 12-part "Year of the Squirrel" rather than the icky weirrd clone-child of Secret and Morocco Mole he seemed to be in the '95 series. If the two of them want to have a BROmance, let's see it in the comics and not have it ret-conned in 30 or more years later.
I do however think that Huckleberry Hound will be revealed to be the Time Trapper.