(How) Can a Rogue use the Use Magic Device feature to cast spells from Spell Scrolls?

Thief rogues get the Use Magic Device feature at 13th level, which lets them ignore all class, race, and level requirements on the use of magic items.

Spell scrolls are an unintelligible cipher if the spell isn’t on your class’s spell list. If using a spell scroll to cast a spell higher than you’re normally capable of, you need to make an ability check using your spellcasting ability against a DC equal to 10 + spell level.

Since the Thief rogue ignores all class and level requirements on the use of magic items, does this mean they may use spell scrolls without an ability check regardless of their level (essentially allowing them to be able to fake being a high-level caster for any class as the situation warrants)?

Or does the ability just let them attempt to use the scroll, but because the spell’s not on their spell list (because they don’t have a spell list), they need to make the ability check? If so, what ability would they use to make the spellcasting ability check?