Stainless synthetic for inclement conditions is always easier, and in some cases better.
But they are made from stainless steel which is rust resistant, not rust proof.
Plus they get handling marks as well, they are not impervious to regular damage from use.
Also, some manufacturers interpret stainless rifles differently, for some the barrel and action only are stainless, some are “stainless” coating and some take it more seriously.
SS rifles I’ve owned:
Ruger 10/22; I haven’t used this in inclement weather but I don’t think it would meet elevated expectations as stainless content isn’t 100%.
TC Icon; not everything is stainless, and what is can rust but takes a bit, one of the better ones I’ve had.
Savage 116; not everything is stainless, I didn’t use it in harsh weather so environmental issues were not my experience but lots will rust on it even if the stainless doesn’t.
Tikka T3 Lite; not everything is stainless and what was browned quickly if not kept oiled, rusted if left in some spots.
Tikka T3 Varmint; same, sweat even browned it on good days…I wasn’t completely happy with the quality of stainless they used.
Sako 85 Stainless Synthetic; Sako Stainless is amazing, the only thing not stainless or coated was the pistol grip cap screws, amazing resilience to weather, the best I’ve played with.
Weatherby Vanguard S2 WeatherShield; not everything is stainless, and what they say is rusts or marks easily.
So depending your personal expectations and hunt environment stainless isn’t always without its own issues.
Still, even the worst stainless is better than a blued rifle in ugly conditions, especially if your stuck in them for awhile.
However, if you don’t mind a little preventative maintenance while on a hunting trip and a deep cleaning after, a blued/wood rifle will stand up amazingly well.
As they have for well over a 100 years.
Get lazy, and well, let’s just say it has character and sentimental value…