"Tropical" bulbs are going to be full spectrum because they are emitting visible light in addition to UVB light. If UVB light is being emitted, then UVA light is going to be emitted as well - it is "on the way" as far as the spectrum is concerned; to emit UVB and visible light, you also have to emit UVA, as it's the wavelength of light inbetween them.
Fun fact, most bulbs that emit visible light of any kind also usually emit UVA.