Why the lower one? For tags like ‘maxheight:physical’ I fully agree to tag the lower one (or the actual measurement).

‘maxheight’ doesn’t describe the height of an object, but the legal lower limit before you can be fined (either physically or financially). If you’re between the two numbers, you are still low enough to physically pass through, and you can dispute a fine by using the favorable system of units.

I’d rather go for the proper tag for traffic signs. That would be something like this one from our database, which if fully machine readable and therefore might be shown by any software supporting traffic signs:
traffic_sign=GB:629.2A[4.5m,14’10"]