If you read his second tweet, he makes it plain that it shouldn't be the first priority of the GOP to shut it down. Not that he didn't want it shut down.
Yes I agree, it's obviously an issue that he still wants to deal with, although perhaps it could just be more of his "shoot from the hip" & "tell them what they want to hear" style?
What would be interesting is to see a full picture of what issues the GOP has with the ethics committee. There have been some references to "due process" and specifically the ability for to hear anonymous, but there must be more to it than just those two specific issues.