Under the circumstances I would be inclined to check out other instructors before making a final decision! More training/experience is always worth while..
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He thumbed the dive, and was waved off by the pro.
The one thing I wouldn't do as a DM (and I am a DM) is allow a diver who thinks I'm his buddy to ascend alone. I'm not sure I would allow a diver who thought he was diving as part of a group to ascend alone!
The OP did the right thing, according to his thinking.
I don't think there was, or was described, any emergency. There was a diver who had reached what he thought was a gas limit where he wanted to move up in the water column, or end the dive. He was, at that time, diving with a DM and another client. He thumbed the dive, and was waved off by the pro.
As a pro, I'm stuck in the situation where I have one diver who clearly wants to end the dive, and another who does not. If the signaling diver believes I am his buddy, I am really obligated to ascend with him, and if the other diver is not capable of or not willing to remain in the water alone (as I think most divers are and should be) she needs to come up with me. The one thing I wouldn't do as a DM (and I am a DM) is allow a diver who thinks I'm his buddy to ascend alone. I'm not sure I would allow a diver who thought he was diving as part of a group to ascend alone!
The OP did the right thing, according to his thinking. He may not have navigated well, and may not have controlled his buoyancy well -- how many relatively inexperienced divers have done a free, blue water ascent by themselves? But this whole story illustrates the grave weakness in gaggle diving. If everyone in the group is looking the lone pro as their "buddy", how do you, as the pro, satisfy everyone's desire for a good dive, and everyone's desire for a buddy for safety?
The takeaway message from this story is to have a buddy who understand that you are buddies, and to have a plan for buddy behavior in the face of low gas or any other desire to end the dive, before you get underwater.
I was told and under the belief that the divemaster would be my designated dive buddy.