I understand the basic singular/plural agreement when using kind/kinds:
This kind of person
Those kinds of people
But what do you do if the subject is not the plural "those" but rather the singular "one of those"? In a sentence like this, would you use the singular "kind" because of the "one of" or the plural "kinds" because the "one of" is referring to a separate plural clause:
You're one of those spare-the-rod kind(s) of people, right?
I could always suggest a rephrase as
You're a spare-the-rod kind of person, right?
but I'd like to know how to properly work the original sentence too.