First thing that comes to mind is that when you're a GPU PoW coin, its possible to develop an asic in secret and basically take over the network without anyone knowing.
If you're already on asics (fastest tech available atm), you're not vulnerable to stuff like that.
The ASIC manufacturer could sell only a small fraction of its miners and keep the rest mining for itself. That makes a coin/algo that has been ASIC'ed just as vulnerable to "secret mining" as one that is still only mineable with a GPU or CPU.
So, no, the successful development of ASICs for an algo does not make it any less vulnerable to shady behavior by ASIC manufacturers.