In this case, if there is scab on the wound and there is no redness around it, there should be no inflammatory infection under the scab. Having body hair under the scab should not affect it, and it is no problem to fall off after healing.
Suggestion:
It is recommended to observe whether there is redness and pain around the wound. If there is redness and pain, it should be inflammation under the scab. You should change the dressing as soon as possible to promote scab shedding. If there are no symptoms, it will generally fall off naturally.