As for whether that's easier - I've been doing it like this since forever, so I'm biased and it's easy for me. It's easy because I don't have to worry about problems related to cross origin resource sharing and because I know how to write the necessary configs. If you don't have to walk through mine field, you never worry about mines. That's the easy part I refer to. I don't even need to test whether CORS is set up properly, worry about preflight and what not etc. - it works, forever.
Whether it will be as easy for you, I can't tell that, you can have completely different opinion and be correct about it, but the fact remains that proxy between 2 resources removes the problem. I consider problem removed as something easy, you might not.
If you're dealing with a bunch of separate black boxes (as our firebase poster is) then maybe you do have to wrangle CORS but if you're developing your own applications then there is no good reason to introduce these issues into your pipeline.
CORS ain't that hard.
This confirms my initial comment - people making up reasons.
The solution is always the same, it's always as easy and there's never the need to introduce something new since you can use what you already have.
Does that mean that I'd have to introduce a web server in front of Firebase Hosting that I'd have to maintain and scale, not to mention that it negates all advantages of using FB hosting in the first place?
I'll stick with CORS, thank you.
There's a comment below mine that tells you you can achieve this kind of proxy with the actual Firebase itself. And your comment, again, proves my hypothesis - people just make reasons up with improper arguments.
This doesn't require handling an OPTIONS request for every endpoint, which I agree could be fairly simple, but Firebase Hosting configuration could very well be less invasive than this change in the rest of the codebase.
I'd like you to back up your claim that a server-side proxy or using the same domain is the easiest solution, and in particular, easier than the solutions suggested by cakoose.