Keeping oil spray nozzle from clogging
This won't work, and it isn't about the clogging - you just won't be able to spray.
First, you cannot refill an aerosol bottle at home, so you are limited to using pump spray bottles. The pump spray bottles you can buy are meant for water and water-based liquids. If you fill a normal pump spray bottle with cooking oil and spray, what you get is a single streak of oil, not a mist of droplets.
Second, there is a reason why the industrial spray uses lecithine and other emulsifiers. Without those, your oil will not be sprayed-on, it will run together into a few large droplets, leaving most of your pan oil-free. So, even if you find a spray bottle that works with oil, you still won't have an oil-coated pan.
Third, these sprays are meant for baking. If you give your pan a small spritz of oil only, this is likely not going to be enough oil for an omelette. So you will have to use as much oil as when applying standard oiling techniques anyway.
In the end, the bottle would not be really worth it if it worked, and chances are you won't even get it to work. So, I would call the idea a dead end.