Could a character with the Magic Initiate or Ritual Caster feat use spell scrolls?

The rules for spell scrolls say

if the spell is on your class's list you can use an action to read it... otherwise the scroll is illegible.

So with those feats you have spells from a class's spell list, which means you are technically a spell caster, and whichever list you choose is technically your spell list.

If you have Ritual Caster you gain an arcane book, which implies that you can interpret and use spells by reading arcane texts (your ritual book) and spell scrolls are arcane texts, so you should be able to use spell scrolls.

If you come across a spell in written form, such as a magical spell scroll or a wizard's spellbook, you might be able to add it to your ritual book.

This implies that you can interpret spell scrolls, which seems to convey that they are not illegible to you. And the description of scrolls implies that the only requirements for using a spell scroll are being able to read them and cast spells. These feats should allow you to do both.

Am I right?