That's exactly right, we have already lost.
Can you imagine the outcry if we had a system where lawyers were randomly assigned to cases, and paid according to some fixed schedule (eg seniority)?
Yet wouldn't you want a world like that? Where whenever some matter arose, it wouldn't matter whether you were rich or poor, you would get some random lawyer, as would your opponent?
As to whether better lawyers get paid more, I need evidence to believe that. I'm no expert, but it seems to me the quality of legal work has a lot to do with how much time is available to do it, which pretty much depends on budget.
Whenever I've dealt with a certain class of (suited) professional, I've never gotten the sense that one guy would come up with something that another guy wouldn't, given the time. If there was doubt on an issue (typically tax related) both accountants would say so, and suggest spending time on research. If there was something aggressive (again tax deals) evert accountant seemed to think so. Same with lawyers, I've never come across some line of reasoning that seemed like it wouldn't have been uncovered by every lawyer, given enough time. And also they tend to defer to specialty experts whenever they are at the end of their knowledge, so it all feels pretty standard.