Well, I use different strings (hex, round, Nickel, pure Nickel) on different guitars. It depends on the instrument and its spectral behaviour. Suppliers in use: Kurt Mangan, Ernie Ball, Gibson, Pyramid, GHS.
Tip: Buy 5-6 different sets and do a test. Play a set for one day, then change it. It is amazing how different an instrument will sound.
I've gone back and forth. I played DRs (round core) for years and really enjoyed how long they lasted. But I do like the snap and brightness of a good hex core. I'm currently playing hex core, really doesn't matter to me which brand as long as the gauges are correct.
I've tried all sorts of constructions . Round core sound flat and indistinct in most Brands except TI , but they're expensive .
Then there's silk wrap , before metal wrapping .......... At the end of the day it's more a case of pickups , amp and the ability to play .
...if a Bigsby is installed it is generally recommended to use Round Core.
They tend to be more stable than Hex Core and don't break as easily.
You tend to lose the snappiness that Hex Core tends to provide.