A patient with HIV who is doing well otherwise and on appropriate drug regimen will most often have a normal WBC.
If sicker with the illness, it will be much lower.
However, with an infection, any of these people can have a high count of WBC.
So- if controlled HIV, and High WBC, there is likely an infection brewing somewhere, and this person should be evaluated for infection causes.
So- the real answer is NO, if immunocompromised the count will be low, but if well, it will be normal. In the face of infection it will get high as long as that person's immune system is still working.
I hope this answers your question.
Feel free to ask anything you need to clarify.
If you don't mind me asking, what was the count?