I've mentioned this before but for smoothbore gun. turbo1889 posted some years ago that the Lyman sabot slug would go unstable if launched supersonic when velocity dropped to transonic. I think that was for smoothbore gun though. turbo said if was because of the very blunt wadcutter nose.
As for fit, this is the big issue with shotgun slugs. Finding the correct wad fit fit to bore then the bores vary all over the place... at least in smoothbore. Ajay has posted a tremendous amount of into on slug fits with different wads. He is mostly a 20 gauge guy but he has posted a lot of info on both the Lee slugs and Lyman 525 gr. slugs as well. Both are about the same size and tapered but if you check links below there are several posts specifically about the Lyman 525 gr. slug and wad fit. I just scanned through and copied links and posts that may be helpful (could be some repeat info):
http://castboolits.gunloads.com/show...light=fit+slug
http://castboolits.gunloads.com/show...light=fit+slug
http://castboolits.gunloads.com/show...light=fit+slug
check post 216 above.
http://castboolits.gunloads.com/show...light=fit+slug
check post 529 above.
http://castboolits.gunloads.com/show...light=fit+slug
check posts 604 and 607 above.
http://castboolits.gunloads.com/show...light=fit+slug
check posts 649 and 650 above.
http://castboolits.gunloads.com/show...light=fit+slug
check posts 660 and 669 above.
http://castboolits.gunloads.com/show...light=fit+slug
check posts 705 and 706 above.
It seems that smoothbore bore diameter vary considerably but that for many rifled guns 0.727" seems to be a common groove diameter. I have read though that the H&R USH had large groove diameter and Mossberg at 0.730" but that is hearsay, as I haven't measured them myself. Have you slugged your Marlin 512?
Good luck!
Longbow