In a word, YES
Lee's tumble lube will handle full house 357 loads. It will also handle full house loads in the 44mag along with p+ loads in the 38spl/45acp/44spl. I've had bullets in a 24" bbl'd 308 up to 2400fps+ with no leading.
What I did when testing the 45/45/10 that I made:
I started out with the 357 also owning several different firearms chambered in 357 with multiple bbl's. I started by sizing the cast bullets to .358" and gave the 2 heavy coats of lla. They shot fine with no leading do I tried a single heavy coat, same loads no problem. I did start to get leading at the muzzle end of the bbl's when I tried light coats of lla. Did more testing with lla in different calibers/firearms and ended up with.
1 light coat for light target plinking loads (all calibers)
1 heavy coat for hot loads in revolvers and medium rifle loads
2 heavy coats or a combo of 1 heavy coat and traditional lubed heavy rifle loads
A word about alloys/bhn's and cast bullets:
A bullets BHN is SSSSSSOOOOOOOO overrated!!!! Back in the day I started casting for myself/my own molds (80's) there were 3 alloys to use.
Range scrap
wheel weights
lino/mono type
Untold billions of bullets have been cast and shot down range using those "COMPLEX" alloys. It's extremely hard to grasp what the masters of the cast/lead bullet did back then.I'll try to explain it as best as I can. This is what I was taught:
Range scrap/ww's, cast and shoot it in everything. (8bhn to 12bhn)
Need a harder alloy/bullet? Use range scrap or ww's and water drop them. (15bhn-20bhn)
Need something harder than that? 3 parts range scrap/ww to 1 part lino or mono type and water drop (25bhn+)
I use those complicated alloys/methods to this day. I laugh my #$%# off every time I see someone parroting you have to use this bhn for a bullet because yada-yada-yada.
I have no idea how soooooo many casts got away with casts bullets out of free ww's and water dropped them when they cast bullets so the bullets wouldn't get all dinged up banging agaist other bullets. Typical ww alloy is 10bhn to 12 bhn, when water dropped it becomes 15bhn to 18bhn. Yup 15+bhn bullets in 14,00psi plinking/target loads in a 38spl or 45acp, been untold ton's of bullets shot this way.
So much for the bhn # x 1442 for a minimum pressure for that bullet bhn formula.
Anyway, coat the heck out of them and shoot them (2 heavy coats). If you have issues it isn't going to be with the 45/45/10 lube.