Liiklusseadus says that signs are more important than road markings when they are in conflict, so in this case there is no real actual problem here even if it's confusing. They just didn't bother with erasing road markings.

I've mapped a lot of bicycle paths in Tallinn lately and it's very common to have places where you don't even undertand where bicycles are permitted. Sometimes bicycle/pedestrian paths have signs only from one end of a road.