Professional chefs tend to prefer towels over puffy protective gloves because they have the advantage in dexterity, cleanliness, and ease of use when juggling pots and pans.
If you care about actually knowing where your hand is in relation to the cookware versus the food that is on it, the answer is unquestionably 'yes' to swapping out your oven mitt.
Mitts are bulky to the point where you can't easily feel important details like the edge of a baking sheet or the thickness of a handle.
Toward easier cleaning, towels are preferable as they can be cycled through; most kitchen rags come in multipacks, making it easier to toss one in the wash.
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