It depends, you'll have to clearly identify what type of rifling your 637 features. S&W has just recently started using ECM rifled barrels on the J frames so it's quite possible your sample may have a broach rifled barrel.
The difference isn't very difficult to see if you know what to look for.
A broached barrel will have sharp corners at the edges of the lands and grooves with a surface finish that looks slightly rough when viewed with a penlight shining down the bore.
The ECM rifled barrels will have radii at the edges of the lands and grooves and the surface finish will look a bit like polished glass with a penlight shining down the bore.
Personally, I had terrible leading the only time I tried some Blazer LRN in my model 620, which features an ECM rifled barrel. However, it's possible that Blazer ammo didn't feature any lubrication or used a lubiracation that was "lacking" when shot in an ECM barrel. Some reloaders have reported no issues with leading using their own ammo, however none have posted what lube they were using for their reloads. Because of this I ONLY shoot jacketed ammo in any of my revolvers that feature ECM barrels.
I can also report that I have not seen any loss in accuracy with the ECM barrels, in fact that 620 is capable of shooting to a level of accuracy that I can only approach by using a scope and putting a lot practicing at a shooting bench. I also suspect that superior surface finish in an ECM barrel may provide a slight velocity gain when shooting jacketed ammo, however that is an unconfirmed theory.
Bottomline, while it's likely that the ECM barrels are NOT compatable with commercial lead loadings, it's not all bad news. Accuracy is good to exceptional and since almost any SD ammo on the market today is jacketed that potential gain in velocity may improve it's performance. If you do your own reloading, I'd suggest you check for leading by starting any cleaning with a wet patch and keep an eye on leading. BTW, with that 620 I nearly had to resort to a hammer to patch the barrel and just 2 strokes left the patch in shreds, so it was pretty awful. Also took a good 8 to 12 hours of work to get the barrel clean.