Thank you for your detailed answer! But I'm still worried about multiple testing correction.
Considering the impact of type I error, if I first normalize, then subset my matrices and perform a simple statistical test like a t-test, this would involve far fewer statistical tests than running on the full transcriptome. Is this feasible, and would it be more effective than running on the full transcriptome?
In general, I am only interested in a small part of the whole genes. Is it really necessary to run on the full transcriptome? Would this introduce more errors?