This has been raised before but didn't get any traction:
https://forums.autodesk.com/t5/revit-ideas/category-tags-should-work-like-multi-category-tags-with-a...
So I'm reposting again.
When using 'Tag By Category' there is no option to select the desired Family/Type prior to tagging. Instead the user is locked into always placing the default tag and then manually swapping it after. This is different to the behaviour of every other tag placement (and every other component placement) and is seriously annoying.
We often have more than one tag family/type for any given category and not being able to select the desired tag prior to placement can be confusing.
I get why the behaviour occurs (because the tag could be placed onto any category so it doesn't know what it is before placement), but I'd still prefer having the drop down and then being locked to placing the tag on those specific category elements, rather than the current setup.