Most manuals say you can use 10W30 down to 0F or -20C which sounds about right to me. Well the OM that still show temp graphs with various grades.
The actual 10W cold cranking test (CCS) is performed at -25C and the low temp pumping test at -30C, so you know you are good down to these temps.
Above freezing, 32F or 0C, I would expect absolutely no difference in "start up flow" between a 10W and a 5W. This should not really be an issue until close to the cold cranking limits. But once at these temp limits, then yes obviously 5W is better even though 10W may still work.
But there is no free lunch, that extra cold flow comes at a cost, and given the same oil formulation, a 10W should use less polymer VII and therefore be more shear stable and have less Noack volatility.
Below 0F / -20 C then 5W30 for the cold flow.
Above 0F / -20 C then 10W30 for shear stability and low volatility.