This class of load often tests OK from a 4", but it's borderline...stuff is "total fail" from a snub.
Personally...I think the 38+P can work out well but I want the best ammo in it I can score. Speer's 135gr+P, anything from Buffalo Bore (+P if the gun is solid), the Remington 158+P lead hollowpoint are, in my opinion, the top tier, with BuffBore's 158+P the absolute king of the hill if you can cope with 'em.
A small step below that: Winchester's 130+P is pretty good. Cor-Bon's 110 DPX is surprisingly good for a lightweight...expensive though. Cor-Bon's conventional 110 and 125+P JHP loads are good, but the pressures are sometimes high - not for a weak gun. Better-than-average ballistics but the projectiles are kinda old-school...still works though.
From a 4" tube, these "second teir but acceptable" loads will probably outperform most of the first-teir loads from 2" barrels, with the obvious exception of that steroid-ripped BuffBore 158+P monstrosity
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Now...are there other loads that'll work? Yup. Absolutely. Those are the loads I've seen solid test data on and consistent performance out of snubs.
I personally believe that *knowing* I've got good ammo in the gun is part of the whole "confidence package" that will read on my face if I ever have to draw. I believe predators (man or beast) can and do read that confidence and usually back down before you get a chance to crank a round off.
That's one of the main reasons I'm extremely picky about ammo. And I can make a good case that such "pickiness" is particularly crucial with the 38+P as it's on the marginal end of current defensive choices.