I do understand where the confusion is stemming from, but taking the time to properly learn the clash between Leibniz and Lagrange is very important. It makes a lot of sense to use one versus the other in specific cases. You might be able to protest by saying there are certain cases where the differential operator is treated like a fraction, but not only would I call this a rarity but also a cheat to what is really happening (the chain rule comes to mind). I do think it's cool to think of analogies that could include notation changes for students in early calculus classes though.