If they are T5 they are most certainly "full spectra" bulbs! And they at least deliver light covering the hole visible spectra!
The first picture shows the relative spectral output for a 4000K T5 tube:

The second picture show the same series of T5 but the 6500Ktube
What you can clearly see is that there is significant amount of blue light in the 4000K. This also holds for a 3000K tube (not shown)