I guess. I don't see anyone in Vegas doing Barbara Cook.
Chrissy Hynde comes to mind. Though I think someone ought to.
As great as Barbara Cook is, she is just not well known enough for a Vegas copy cat/mimic.
I have seen a drag queen do Tori Amos. Good show, actually.
Lady Axl Rose
Lady John Travolta
I saw a really tacky drag queen imitating Rihanna, complete with a black eye and bloody nose!
I was amused, but many were NOT.
Most drag performances are camp parodies of what is/was thought of by the mainstream (i.e. straight people) as the feminine ideal, or of performers whose heady, outlandish and/or ludicriously tragic lives outshone their talent.