Also, 0.002" oversize shoots better in some lever guns, but 0.003" over often shoots worse. So you may be in for some experimenting or sizing work before those bullets do their best.
The last time I tried to get fishing sinkers, they were from Wally World and were made of something a lot harder than pure lead. I found the same at the local Gander Mountain. It seems the "get the lead out" movement has got to the sinker suppliers to this area, at least. As a result, I've either had to cast my own or I buy the pure lead Hornady round balls oversize and roll them down to a few thousandths over groove diameter for slugging. There are also kits and supplied available from Beartooth Bullets, Missouri Bullets, and NECO.
Anything other than pure lead is too springy to do a good slugging job. I forced a cast bullet (BHN 16 claimed) down a bore before and couldn't feel any features of the bore surface with it at all. It was just a hard-to-push slug that came out about half a thousandth bigger than actual groove diameter.
I recommend slugging the whole length of the bore and, where possible, doing it from both directions to feel for rough spots or constrictions that may need polishing or even firelapping. I find a barrel can feel significantly different pushing the slug through it, depending which end you start from. Constrictions easily felt from one end can be glided over from the other.
Also, don't rely on a caliper for measurements, as I've seen done in a YouTube video. They are just not precise enough. If you don't have one, get a $20
OD thimble micrometer that resolves 0.0001". If you have a gun with an odd number of lands and grooves and don't know how to make a measurement for that, Missouri Bullets measures them for free.