Yes, I've never heard it called that, though the internet says it's a thing. At Uni here, it's called enthalpy of phase transition (or enthalpy of melting). Fusion is only the literal atomic process of fusing 2 atoms. I have a feeling heat of fusion is a very antiquated version that's being replaced, because fusion has such a specific chemical meaning. Sublimation, evaporation, melting and condensation are the only phase change phrases we have ever referred to at Uni.

But also, still not relevant here. Almost all commercial (and most industrial) refrigeration uses gas and liquid, not solid and liquid.