I don't know about what other strictness you're referring to but exhaustive enum matching is common check in most TS stacks via eslint. Yea, it's not builtin, just saying there's a solution and it's super common.
The thing you gotta make sure to do is basically return inside of switch statements. Typescript will gladly propagate a type that you think is never but is actually ThatOneCaseYouForgot if it's not ever used or referred to.
Every TS project I've worked on has an assertNever(val) thing specifically to check for this kinda stuff