"I would rather argue with you than be silent without addressing the problem.

Because silence means giving up, it means being so exhausted that you don't even want to try, it means getting tired of each other.
And it slowly creates a distance which eventually makes the relationship fall apart.

I would prefer arguing with you about everything that seems like a problem than not trying to fix anything.

Arguments are not necessarily a bad thing. Differences and arguments are parts of a relationship.
And it's okay to argue as long as we are not giving up on each other, as long as we are trying our best to make this work.

Because even after an argument, we would still have each other, we wouldn't fall apart.
And I would prefer anything over losing you because losing you is never an option for me."