Yes, effectively. The committees are masters of their own procedures, as you know. I've ruled on that many times.
The one place where I think I have had something to say about what a committee has done is when the committee has come back to the House with a bill that had amendments in it that were beyond the scope of the bill, and I've chucked the amendments. That, I believe, has happened recently.
Beyond that, the events and so on that transpire within committees are really matters for the committees. They can make a report to the House and ask the House to make an adjudication, but unless there's a report from the committee, the House has nothing to say about what happens there, and the Speaker certainly does not.
My jurisdiction, really, is dealing with members and their behaviour in the House, if you want to take it in those words that you were using in your question. It doesn't extend beyond that--unless it has something to do with their budgets, and then I suppose there might be some complaint that could come to me from that source, but it would really be directed to me as chairman of the Board of Internal Economy, and the board would likely deal with it, not just me.