What the bullet is made of really doesn't mean a thing...YES you can get way the HE** over pressure limits with cast lead bullets.
The reasons most people "normally" don't is the leading problem is approached from the bottom...slowly, but that can be overcome somewhat by a few extra's like adding more lub by hand, gas checks and using hard cast slugs.
I bang away with 435 to 590 gr cast lead slugs in my 45-120 and 510 Makatak at velo's up in the 2600 fs plus range WITHOUT MAJOR LEADING as I use hard cast, gas checked bullets AND add extra Alox to the bullet and keep an eye onthe bore...any sign of leading and I start cleaning and reducing the load or work out a solution. The pressures are up nearly the same as Jacketed bullets of the same weight...it wouldn't take much to push the pressures over the wrong side of the fence.
A soft lead slug designed for BP at 1500fs can lead up quickly when pushed and the lead coating will contribute to bullet drag AND pressure build up.
Maybe the first few rounds won't cause a problem but somewhere along the way the pressure could spike and you will get all kinds of pressure signs all at once....
All the warnings about SB1 frames have been well posted...I been doing this stuff for over 50 years and I WON'T go messing around with ANY cartridge or bullet construction type not recommended for that frame, it doesn't matter what I MIGHT think...it AIN'T WORTH the sweat...I've learned a lot of hard lessons, some intentional and some not...I have all my fingers...well 9 1/2 anyway...and all the other pieces and parts I want to keep, and I want it to stay that way.
My one SB1 frame sits stripped...someday I might put a 22 Mag barrel on it.
Listening or not to those warnings is YOUR business, just let me know what part of the country you live in and when you are goind to do this monkey business so I can be sure to be a long ways away.

Luck...(sounds like you night need it.)