Echoing the thoughts of the only current sibling comment: lots of "serious" developers (way to gatekeep here) definitely use coroutines, when they make sense. As mentioned, it's one of the best ways to have something update each frame for a short period of time, then neatly go away when it's not needed anymore. Very often, the tiny performance hit you take is completely outweighed by the maintanability/convenience.
...and then crash when any object it was using gets deleted while it's still running, like when the game changes scenes, but it becomes a manual, error-prone process to track down and stop all the coroutines holding on to references, that costs much more effort than it saves.
I've been a serious Unity developer for 16 years, and I avoid coroutines like the plague, just like other architectural mistakes like stringly typed SendMessage, or UnityScript.
Unity coroutines are a huge pain in the ass, and a lazy undisciplined way to do things that are easy to do without them, using conventional portable programming techniques that make it possible to prevent edge conditions where things fall through the cracks and get forgotten, where references outlive the objects they depend on ("fire-and-forget" gatling foot-guns).
Coroutines are great -- right up until they aren’t.
They give you "nice linear code" by quietly turning control flow into a distributed state machine you no longer control. Then the object gets destroyed, the coroutine keeps running, and now you’re debugging a null ref 200 frames later in a different scene with an obfuscated call stack and no ownership.
"Just stop your coroutines" sounds good until you realize there’s no coherent ownership model. Who owns it? The MonoBehaviour? The caller? The scene? Every object it has a reference to? The thing it captured three yields ago? The cure is so much worse than the disease.
Meanwhile: No static guarantees about lifetime. No structured cancellation. Hidden allocation/GC from yield instructions. Execution split across frames with implicit state you can’t inspect.
Unity has a wonderful editor that lets you inspect and edit the state of the entire world: EXCEPT FOR COROUTINES! If you put your state into an object instead of local variables in a coroutine, you can actually see the state in the editor.
All of this to avoid writing a small explicit state machine or update loop -- Unity ALREADY has Update and FixedUpdate just for that: use those.
Coroutines aren’t "cleaner" -- they just defer the mess until it’s harder to reason about.
If you can't handle state machines, then you're even less equipped to handle coroutines.