Afternoon adrichards and welcome to the forum.
The Second generation heritage that you have should have a 3 position clasp (part #STZ014058). I
believe the clasp you have there (part #STZ001159, assuming it is genuine) with 6 positions and the slightly lower "OMEGA" placement comes from the current generation Seamaster Professional 300M. Your clasp appears thicker and longer (which is why the lower OMEGA placement most likely)- the current 300 heritage clasp is just over 18mm thick and mated to a bracelet that tapers to 16mm- and the portion of the clasp with the PUSH adjuster is 15mm thick.
You should be able to veritfy quickly with a ruler or calipers, that the clasp does not conform to these dimensions.
The part numbers on your bracelet sides themselves look correct. However, I'd like to see what the underside of the endlink looks like where it meets the case. I'd also like to see what it looks like viewing the endlink from the top, vs. the lug profile.
I ask this because the end links should have notches (visible in the final image I shared), and I cannot see if yours has those.
Last thing- from what I understand the current SMP bracelet is one of
the most commonly faked parts. I have no idea if that clasp is genuine, but I also cannot, for the life of me, understand why someone would "replace" the current clasp with a bigger one, which makes me a bit suspicious.
Some images: