Winchesters are mostly for the name, I think - and there aren't as many of them vs the other manufacturers (except for International Harvester).
In general, you'll notice that Winchesters side by side with other M1 Garands look a little sloppy in their metalworking.
However, all makes of M1 Garand should be able to serve your needs with equal ability.
A lot of it comes down to personal preference.
I got an H&R Service Grade from the CMP earlier this year because:
It was $595.
When seeing other pictures of H&R's from CMP, they were gorgeous.
H&R's probably didn't see action in battle (less wear and tear) - very well could have sat in a case of M1's for all this time.
Mine has an SA stock (with excellently repaired section, that I find cool and different), SA trigger group/op rod, SA bolt that is late WWII vintage, H&R receiver (obviously) and original barrel with muzzle wear of about 1 and throat erosion of 1. Very, very nice. Shoots like a dream, feels like a million bucks. This baby is staying as delivered to me from the CMP, unless part replacement is necessary for repair.
I'm ecstatic with my decision - and probably will order an SA Service Grade sometime as well.