Looks like things worked out, but, when has a guitar player from an OPENING BAND EVER dictated what the drummer in the headline band will do?
Personally, I'd have a serious talk with your band/booking person and state in no uncertain terms that this is YOUR INSTRUMENT, and it is NOT professional of anyone to demand to use it, or have them tell your band mates to "make you" let them use it for ANY reason. Period.
This really pi$$es me off.
I hope the person was at least appreciative of YOUR EFFORTS in making things go smoothly.
Maybe next time, all the other bands should chip in and rent a kit and see how they feel about it then. You'd probably get a "why?"....
My band usually does something every year where it's a gig party, and a bunch of bands play.
My kit is used, which has been fine because I usually know everyone, & it's usually always a real good time too.
BUT I have the booking person MAKE SURE the other drummers know, and that it's clear they MUST bring their own cymbals, snare drum and pedals.
If they forget their stuff, they don't play. So far it's been good.
Heads or sticks can be taken care of easily (I bring spares), cymbals, not so much.
My rug is marked for my placements so people can put things where they want, and I can plop it all back in a minute.
My kit for a show is a little different, so the extra stuff I use, I just put to the side until we play.
I hope things go better for you in the future--and you were in no way unprofessional handling the situation in the first place IMO.
As PFOF said "In this particular instance, you're being a bloody saint."
Cheers!