10k steps. Included in workout?

I am in the process of trying to lose body fat. One thing that seems pretty consistent is that steps are a huge help in doing so. I’ll attend a HIIT style workout 3 times a week which includes running on a treadmill. I’ll get anywhere bw 4-5k steps in while there. My question is do those steps count towards daily 10k? I’m confused as it seems like some say get your exercise and in addition get 10k steps. Anyone know? Thanks.