It isn't the oil alone what matters. Both oil temp and coolant temp are
indicators for the engine hardware. After start-up the piston temp raises
very quickly, while the cylinder sleeves as well als the entire crankcase
only slowly raise in temperature. As a consequence the piston expand
while the cylinder sleeves haven't yet. Perhaps that's the main reason for
increased wear during warm-up. It takes time distributing, say spreading
the heat. So the oil temp itself isn't the only thing to look for. The other
contributing factor is time. While it's easier to say your engine is ready
to rev at say 80°C/175°F it's probably not a bad idea to wait at least ten
minutes also.
That said, overcautiously lugging an engine results in slowly getting up
to temp and as a result the engine may not get up to full operating temp
at all on shorter distance trips, causing oil dilution as fuel and water aren't
allowed to evaporate.