We have these things called "words." When we put the words together, they make sentences. Sometimes we use a word before we use another word to clarify meaning. Some words are nouns. Some words are verbs. Some words are adjectives.
If I say, "That's a woman." All you know about what I'm referring to is that the noun is an adult human female. If I say, "That's a beautiful woman." I'm telling you more about that adult human female.
Failing to add the adjective doesn't negate the noun.
There's a reason why politicians put the word "universal" -- an adjective -- in front of "background checks." That reason is that we already have background checks. If you don't believe me, and you're anti-2A, go try to buy a gun. You can just tell the seller that you got cold feet before actually exchanging money; so, you don't actually have to buy it. Just get the process started, and try to initiate a legal process of buying a firearm without a background check being involved. I bet you won't be able to do it.
The lack of the word "universal" doesn't mean that we don't have background checks.
Are we clear yet?