Hi. Not on a "proper"car but my Skoda has both water temperature gauge and, via the computer, oil temperature.
The water soon gets up to 90 and stays there however driven. I always bring up the oil temperature read out, not pulling too many revs until the oil heats up. Running temperature being 95/98 and can take 10 miles to get there. Always careful not to rev. too much until oil hot for the sake of the turbo.
On a classic I have always driven on the oil pressure gauge when starting off, keeping revs down until oil pressure doesn't go too high, ie,until it reaches running temperature. Not a believer in loosing oil pressure too much above standard.
In the late 60s to 80s use to run and race Morgans with both crossflow and Lotus twin cam engines. Instead of fitting a high pressure oil pump I used a high capacity pump but I swopped to a standard spring, result 45psi at all times, also with some 40% more flow available didn't need an oil cooler. However did run a slightly larger sump and larger spin off oil filter, prior to which, using a paper/felt filter a Wooler aluminium ribbed casing.