I'm looking at booking an intra-Europe ticket on LH for the summer, but most places I try to do that I can only find E and T class tickets, which do not earn miles in MP. Searching on united.com yields some LH coded flighst (not UA codeshare) with fare class S. The fare basis is SNC25E2S, which is the same as when I search LH flights in S on ITA Matrix, and the price is also the same.

So, my question is, does anybody know whether the fare class displayed on united.com for LH coded flights is the LH fare class or UA fare class, which would map to something else on LH?