Comparing these animated buttons to distracting light pollution is pretty apt.

Drive around some of Vegas and say that all the old incandescent lights and neon are just pollution. Some of it, designed just for eyeballs and profit, actually ends up being beautiful.

Hire a designer and select an attention-getting color? Use a unique shape which is different than the regular visual flow on the page?

The internet is a cesspool of ad-plastered pulsating garbage. Please don’t litter more on the garbage pile.

There are plenty of better ways to draw a user’s attention to something. Any half decent designer should be able to do it without this kind of noise. And there are people like me that will close the tab before interacting with the page, so you’ll lose some people with this approach.

It depends on the concrete case and why drawing their attention is important, but flashy animation is never the answer, unless it's to indicate an imminent life-threatening danger, or unless your app is a game.

Some people don't like neon signs. As a business owner, you're free to ignore them.

Use a 'new' gif that is animated like in the 2000's =D