InterCity or local train, does it matter?
There are many different train types in Switzerland. Several high speed and EuroCity trains to the surrounding countries, InterCity trains that connect the major cities, trains servicing the suburbs (S-bahn), regional trains, local trains and more.
You can find the train type in the Swiss timetable. However, in practice, it is not relevant what all the trains are called. The main difference is that long distance trains are more comfortable, stop only in the larger towns, and are quicker. Local trains stop everywhere and are slower. There is no price difference. If you have a ticket for a specific route, you can board any train that takes you to your destination. Rail pass holders can board each train type as well. Seat reservations are usually not required.