That's unfortunate. I think Satomi would have a certain respect for Lulu because of how similar they are, but she'd be disappointed that there wasn't a possibility of her coming over to Team Sol's side. Rochelle will probably only run into her when she's in good person mode.
Ayumi would like to think that she will not be dominated! She'll put up a very good fight when Rochelle comes around, but she really just wants trainers to do their best and move on to the next gym. Ayumi's pretty set on proving that she deserves being gym leader, she's not sure how many people know about the badges she has.