yes you need to run one.
my regarding this topic is for a stock 4age. if i surge round a corner, the fuel pump pumps air and injectors run dry for a moment and so forth, this is not good for pump or injectors but keeping that occurrence to a minimum by keeping tank above 1/2 you can get away with, but not ideal.
i believe if u lean out bad like that when under boost thats far worse.
i.m.o i strongly urge a surge tank (1 - 1.5 litre --- someone can advise u on the volume). According to KE70Dave, a jdm tank will probably only suffice for a N/A setup.

Basically, don't mess with running fuel supply dry when running a turbo setup.