Perhaps. Bat-Mite's best feats are casually killing Spectre and erasing a universe.
Thing is, Bat-Mite tanked an attack from Mxy that erased the whole of DC: all pasts, all presents, and all futures... Literally everything... The entire damn company.
IOW, even if God Doom's output > BM's, Doom still doesn't have a way of putting Mitey down.