Yes, similar types of “9 g” servo motors will work. The little lift arm is not guaranteed to fit those from different manufacturers.
There is some significant variation in the quality of these types of servo motors — cheaper ones may burn out very quickly. However, we would also advise you not to buy “fancier” grades of servos — things like metal gears and digital control tend to not actually increase the lifetime.
[I apologize for the slow reply; I missed the notification about the update.]