It really depends on your definition of HIIT, and your definition of intensity.
I dont believe that fasted cardio of any type will cause muscle loss solely due to the fasted cardio. But I do believe there are a bunch of factors that can make any form of training swing either way.
Theres a delicate balance that must be maintained between intensity and volume(duration) as well as recovery. Intensity and volume are inversely related to eachother, and the greater your recovery, the greater intensity/volume you can handle.
You could do 45 minutes of fasted cardio and lose minimal muscle, or you could do do 25 minutes of fasted cardio and lose a lot of muscle. The big difference would be the intensity.
There are a lot more factors than just intensity and volume though.
Quality of nutrition
Maintanence or improvement in resistance training sessions
Ive been doing fasted cardio for about two weeks now, and dont think ive lost any muscle. I will say that im not trying to lose weight though, so before my evening resistance training session, I make sure to eat enough to start gaining muscle again. But I have done some HIIT sessions fasted with no problems. But they aren't nearly as intense as they would be later in the day in a fed state.
What are your lifting stats? as well as physical stats?