Ok Ive been lurking in this thread since creation so I'm gonna throw in my 2 cents now.
OP: Seems like your complaint is that you feel like your time and effort was wasted because the rewards for the completion of the dungeon were taken away from you due to being kicked. I can understand how that can be frustrating, I really do.
Reading front to back it really looks like the people in the thread were trying to get to the point of the topic that you want to discuss (reward reimbursement) but before they could weigh in on that part of your post, they needed background information on the situation present in the original post that lead to the kicking in the first place. I'm wanting to weigh in too but also need that information. Currently I see two scenarios (without being provided the information)
1) You were on the receiving end of what may be considered abusive behavior and when you pushed back, you were kicked from the dungeon. This would have left you only with whatever gear you won but nothing else. Now if this is the situation, then yes, lets have a conversation about reward reimbursement opportunities for people on the victim end of a wrongful vote kick.
However, because we dont know the conversation that lead to the kicking from this party. The people in this thread are falling into option 2
2) You mention in your post that getting kicked from parties happens frequently. the veterans in this forum (myself included) have all been kicked form parties before, but in the multiple years we have each played individually (2.0 launch myself) I have only been kicked from like 5 parties (mostly because I didn't know what I was doing and was really holding up the run). This is leading everyone to the assumption that you are the cause of your own issue for actions or words you are using in game and are placing you in the role of the abuser not the abused and because of that, are keeping with the topic of "YOU did this / YOU did that" and not getting to the point you want to talk about. After all, no one wants to side with the person in the wrong.
Try to rephrase some of your responses to help answer the question of "who is at fault" and I'm sure people will be able to move forward and get to the part of the topic you want to discuss.
To answer another part of this post "This is happening to thousands of players" I'm sure it is, but even in those situations I still need to know who is at fault.
To answer your question directly:
If you were the abuser: Nah fam, if you were a jerk, you get nothing.
If you were the abused: yeah I think giving GMs the ability to give tome rewards for someone who can PROVE they were wrongfully kicked from a duty due to an abuse of the vote kick system. (also only if they were on the last boss).