I'm on the TC engine so bear that in mind with the following experiences....
In the 80s I used the normal 20/50, either GTX or that green Duckhams stuff. When Mobil 1 came out I went to that, I think it was initially 10/50. Oil pressure stated the same at idle or running and when 0/50 came out I went onto that despite dire warnings from some folks. Make winter starting easier but otherwise no more leaks, no change in pressures.
Fast forward to the 21st century and we either have the choice of "classic" 20/50 or modern full synthetic 0/40 (or 5/40, 10/40). I did wonder if it would affect hot pressure being 10 down but no, hot pressures are the same. So it may well be controversial, but I'm not convinced that we "must use" a classic 20/50. Having said that, I'm not brave enough to fill it with 0/30.....