Honda uses their own proprietary fluids (ATF, CVTF, PSF) and their older AT trannies are quite picky with fluids. Not using such fluids may damage the tranny or power steering system. For older Honda cars, ATF change is usually done every 40k KM. Older Honda CVT cars require even shorter gaps (20k KM). Not being mindful of the fluid change schedule will not be good in the long term.
If you live near Cavite area, I suggest you go seek out Mel Casaba. He is quite well known among owners of Honda AT cars here in Tsikot. Seek out his opinion or any other mechanic who is quite well versed with the picky nature of Honda AT trannies.
Below is the thread about Mel Casaba in the Honda forum:
Honda specialist: Mel Casaba Back in Cavite with his new shop