Hah, I don't think we're disagreeing. Absolutely - pay the nurses more! But there isn't a zero-sum competition between the two. It's perfectly possible to have a society where the people who do the work get to keep the value they create with their labour. I know you hate socialialism, but I think one of the major, major failures of left-wing politics in general over the last few decades has been to completely cede ground to the right when it comes to the idea that "someone else" shouldn't get money or property you yourself worked to get, and to let socialism turn into some kind synonym for "high taxes". The whole point of socialism is that the people who do the work get to keep most of what they work for, and I think that should apply just as much whether you're a nurse or a tube driver or a coder or a teacher or an accountant or a lawyer. (What we will disagree on, I'm sure, is what counts as "keeping what you work for"...)
And unskilled versus skilled... again, I think we're agreeing. What gets labelled skilled or unskilled rarely has anything to do with whether something actually involves "skill". Even fruit pickers are skilled at what they do if they do it as a long-term seasonal job, even if you don't need any kind of qualification beyond being able-bodied to do it.
