I think that's about the sum of it. AVB did similar too, in terms of "I want Moutinho and Hulk".
Problem is that we don't always have that choice/ability. We compete with clubs that can afford to buy a Mudryk or Mutu and then have them drug banned doing nothing, or to buy a Sanchez and have him stink up the place on £500k a week. When we get it wrong with an Ndombele, it hurts the club for a long while.
So if Poch, for example, had said "No, I want Messi or no one" to add to his Argentine collection, or a Morata that claims he doesn't want to be second fiddle to Kane, then you kind of have to say "well we aren't able to get players who won't come here, but we can still improve the squad". The weird thing is that people throw it back with "We had Sissoko and Winks in midfield" as if it was scraping the barrel, but Poch loved that diamond and obviously thought they were hard to improve on. We had Wanyama/Dembele/Eriksen/Lamela/Dier/Dele/Moura/Sissoko/Winks/Son as our MF/WF options, so aside from the first two struggling with injuries/fitness, we should really have had plenty of room to bring in depth or variety even if they weren't "elite" options.
I feel like that whole thing was just a naivety and some character growth for Poch, because when he left us he managed two teams with unlimited budget and some 'elite' players, and it came across like he had very little pleasure out of managing the Neymar/Mbappe/Messi group.