Not the best ruler to use for precision as the metal tab has some slop- either 32 without crown or may be 34 with a better measure. Regardless- size is perfect on your wrist.
The watch size debate is always flaring on the forums- some say anything under 40mm is a ladies watch and others think anything over 41mm is for men with small.... well you get the point. As always wear what you like.
I own watches that I wear regularly from 31mm to 44mm, it all depends on the form factor for me. With a thick bezel (like a big diving watch), they car appear smaller than they are because the dial area is actually smaller due to the big bezel. The inverse for watches like yours where the bezel is very slim and the dial is large (not to mention the lovely domed acrylic crystal), so they appear larger than their actual size.
I find that I wear my larger watches in the warm months when I have my sleeves rolled up with bare forearms, and smaller when the weather is cool and I wear long sleeves (thick diver watches catch on cuffs). It’s all a matter of taste- no right or wrong.
That’s said, if you put a 44mm watch on your 6.25” wrist, you would probably find it cumbersome and the length from lug-to-lug most likely overhanging your wrist- that’s actually not a proper fit.
