Well, it is always allowed to base your plane at Eindhoven. Cityjet does so for their LCY flights and Transavia as well in the winter.
However at the moment the opening hours of Eindhoven are fairly restricted thus it does not allow to base an airplane and fly it efficient. That's why Transavia only does it in the winter, they've got more then enough planes then so it doesn't matter when it's parked up for hours at Eindhoven everyday.
The advice of Alders specifically mentions a 'home carrier', I can not imagine this is Transavia. They can't really compete with Ryanair and are in a different segment, for Ryanair however 4 based planes seems nice to start with.