Si
Size will also have to be balanced with the number of fighters that a carrier is expected to carry (which is a serious issue as carriers has limited real estate to go about). Having the best carrier based fighter in the world would make little sense if you can put enough of them on a carrier in any meaningful numbers.
For now we aren't talking true light fighters. There has only been one after quite a while(oh Tejas), and it isn't something anyone wants to end up with. Certainly China doesn't plan to have one.
Medium fighters don't necessarily take that much less space than large ones do, depends on how you pack them. They're shorter and more convenient to maneuver on a deck, though.
On the other hand, number of aircraft in the air is limited, especially continuous one. The further out, the more limited it is.
Naval aircraft, apart from spotting, require range/endurance, low speed handling and payload carrying capacity. Being smaller only really helps the first.
PLAN already has J-15 family (which is by sny standard fresh), but may actually keep same troubles Soviet/Russian 33s did; we just don't know. While Chinese Flankers certainly lack 33s main conceptual flaw(they actually can perform a2g) - structural stuff is unknown.
P.s.Choice to kill Tomcat family and replace it with Superbugs wasn't a navy choice to begin with. Even if it was a right thing to do(IMHO)