Kiel ofte and kiel strange are the normal way of saying how often and how strange, either in questions or exclamations of surprise. The practical and easy parts in the rules of PMEG are:
Oni uzu [la vortojn kiel kaj tiel] en la samaj lokoj, kie oni povus uzi tre
Oni uzu [la vortojn kiom kaj tiom] tie, kie oni povus uzi multe
It is clear that you can say both tre ofte and tre strange, so kiel ofte and kiel strange are perfectly good wordings. There is no need to analyze whether we are talking about grades or amounts (quantities).
There are people (the "tiom-kiom-ismo", see PMEG) who don't understand the flexibility of "kiel" and object to its use for anything else than "in which way".
You can say kiom strange, but there is strong emphasis in it, something like "what a huge amount of strangeness".