Getting back to your question, different types of BTA's in the same aquarium is usually not a problem - even if they touch each other.
If you have a BTA and an LTA in the same aquarium, it is also usually not a problem, unless the anemones physically touch, in which case they will sting each other.
Be careful if you have too many anemones of different species in too small a body of water. They can release biological warfare type chemicals into the water to fight off competitors. If you have a tank that is loaded with BTA's, for example, and add a carpet anemone to it, the carpet may not do well.