This is essentially t-shirt sizing without all the baggage that comes from time. Your boss is trying to use the relative magnitude but it's inevitable that people will (at least internally) do math like "7 day tasks is the same as one week task", or worse over-rotate on the precision you get from day/week/month, or even worse immediately map to the calendar. Suggestion: don't use time.
If you pretend not to use time, everyone will do an implicit time mapping in their head anyway. I've never seen it go any other way.