Indeed the results will be exactly the same - and will usually be wrong, sorry!
In either case, the metering recommends an average mid-gray image, usually needing some exposure compensation either way.
That is to say that a step 3) is missing after your metering step 2) ...
Not referring to fancy kajillion-point intelligent metering, BTW. Myself, I always use 'spot' in combination with my brain.
Lately, I've been favoring an incident light-meter - tends to eliminate exposure adjustment in Manual.
Or, one could get good at estimating the lighting value and setting the camera EV without even metering (like they used to).
Or, slow yourself down with one of these, perfect for sports and weddings:
https://wikivisually.com/wiki/Actinograph