I watched the entire hearing in real time, and Nikynoo is right on track.
There was a sequence of events, and taking one of them out of context doesn't tell the story.
1 CD/JP filed a motion to be removed from the case, and have a state-appointed DP counsel appointed.
2 Boyce had a hearing to let them explain what they wanted, and then make a decision.
3 In the hearing, JP somewhat was double-talking about being removed, but also needing help. In real time, there was some confusion.
4 In the hearing, it was determined that what CD/JP was seeking was state payment and perhaps some help. "I'm/He's working for free, and that's not fair."
5 Boyce noted they could have help, but needed to find someone DP-qualified for the state to pay for them.
6 At the end, Boyce said to CD and to JP, "You can have a different state-appointed DP attorney or 2" and "You don't have to work for free, but the state can't pay YOU" and let them decide what they wanted.
7 CD said "I choose JP." A defendant has the right to HIS choice of counsel, assuming the lawyer is willing.
8 Boyce then asked JP if he wanted to continue, because he wouldn't force him to continue for free, and JP said he wanted to continue.
9 Boiling it down, I think JP was looking for money from the state, and CD felt it was only fair, but when it was going to lead to JP being taken off the case, they chose otherwise.
10 Both JP and CD stated bluntly, on the record, in relation to the motion, that they did NOT want a change after all. So THAT was their motion, ultimately, and Boyce said yes.
So that ended it. They were the ones who had the choice, and chose otherwise. I don't see any legit grounds for appeal.