Frequency-hopping multiple access (FHMA) systems provide advantages in reducing interference and enhancing security, but multi-access interference (MAI) remains a challenge. This letter presents new theoretical bounds for the maximum periodic Hamming correlation (PHC) and maximum periodic partial Hamming correlation (PPHC) within the low-hit-zone (LHZ) of multi-timeslot wide-gap frequency-hopping sequence (MTWGFHS) sets. Our results extend LHZ-FHS theory and address gaps in designing interference-resilient FHMA systems, contributing to more secure and robust frequency-hopping communication.