No pictures posted but yes I've seen good compression but the oil ring(s) are worn...
If carboned up MM oil couldn't hurt to soak a couple of days but the compression rings would get carboned up first, (closest to the combustion chamber) but you have good compression.
That tells me
those rings are very likely fine. Oils getting past them due to the likely worn
oil ring.(IME)
I gather IF there was an valve oil seal(o-ring) for the valve(s), that / those got replaced...
With the high hours you have on the machine, that wouldn't surprise me..
As you were able to R&R both heads, I'd suspect you could pull the engine, and
ultimately the pistons out for a re-ring job..
You likely could get by with just hone of the cylinder as your compression is good..
Pic of my 18 hp Briggs,(valve seat let loose, broke the valve, destroyed the head and piston) after honing for re-assembly: