Good question... I think it depends on how someone cares.

Sometimes people who care will tell you what to do, how to do it, etc., because they care for you, they think it's what's best for you.
In this case I think it can take the form of something that only looks like love. An example if you control your partner's decision on what job to take, what things to eat, what to wear, etc., because they "care". Sometimes that's okay but if it gets to the point of being overbearing or suffocating I think it's no longer love.

Sometimes people who care, their "love" will easily fall out if that other person ceases to comply.

It's a pretty confusing and huge topic with a lot of perspectives I guess.