No, sMPC is seen as different from FHE (Fully Homomorphic Encryption). Some protocols utilize the partially homomorphic qualities of certain cryptosystems, e.g. Paillier for additive homomorphism.

I view both of these things as methods to perform secure computation on encrypted data. sMPC has a lot of applied research behind it while FHE has been mostly theoretical up until a decade ago. I think we'll see FHE catch up with sMPC soon here as there are technical limitations to sMPC systems that FHE doesn't have.

I think HE falls in the superset of MPC theory but not synonymous.

They are equally-interesting!

I'd love to be able to play with some of these ideas in my current favorite (but alas not mathematically-speedy) language (Elixir), if anyone had any sort of intro guide to HE or MPC, would love to have a look