There's no time zones involved in that at all. Nobody is going to be checking the opening hours of a Home Depot in another timezone and expect to get the date in their local timezone.
I've never visited a brick and mortar store's website to check their opening hours and assumed it would be anything other than in their local timezone.
However, if I look up the opening time of a Home Depot in another time zone, I expect the result to be in that store's local time! I'll do the conversion myself. If I get my local time instead, I'll still perform the conversion, and get the wrong result.
You could just decide that any time listed anywhere on the internet should include a timezone... but that would be nuts.
