The you don't pay my sub crowd is going hard today. Imagine being consciously, obstinately, sub par player because you don't "like" a skill.
Imagine if Lebron said he didn't like shooting 3 pointers anymore.
You think the Lakers wouldn't either bench or replace him immediately?

Look its a pick up group of randomly assembled players of varying skill levels for daily faceroll content. Not of it is super serious, expectations are low but there is a bare minimum you should be able to do. If you are not getting along with the group and are failing to meet the low expectations of the duty finder then expect to be kicked.
Again, not asking for some raid master tier dps but simply to pull your weight in a dungeon. 90% of the time that's understanding your basic rotations and the ins and outs of your job. These broadly speaking are not matters of opinion. Most rotations are pretty tight, combo potencies and tooltips are pretty well spelled out for you and the math speaks for itself.

I am sympathetic to those who are inexperienced and willing to learn. Everyone has been new once and some job rotations can be complex to grasp at first...

However what is being argued now is someone who simply ... disagrees? ... with .. that? I shouldn't be expected to understand what my job is or does?? I'm really struggling to understand the "I play my way" logic here.

If you you don't understand how to use a certain skill your job has then experiment with it or ask someone or do a little googling.
If you don't like certain skills a job has, play another job. don't just refuse to play your class properly. You're ruining it for the rest of the party. Think about the people you're playing with.

I guess that's the problem here. I don't know how to get you to care about other people.