What is the meaning of sink to a depth in this quote:
No one will have praised him except the Good Critic and Mrs. Walden [critic] and a few private people with no influence. But he is all the safer for that: he escapes malice. He must not make himself too conspicuous, or he will sink to a depth at which even the diamond criticism will seem to be fame. He merely wants such degree of notoriety and such number of editions that the few intelligent people in each generation will be likely to come across his work.