Swiss Transfer ticket from Domodossola

Welcome KDomodossola! Yes, the Swiss Transfer Ticket can be used for both routes. It's valid at either the most direct or the cheapest routes, as proposed by the Swiss timetable. Basel-Lucerne-Chiasso is slightly longer than via Zurich, but it's displayed as a default route by the timetable and it's equally expensive as the Zurich variant. Domodossola is part of Swiss Transfer Ticket validity network (the map can be downloaded here) and the regular route to Basel runs through Thun.