If you do that, you'll quickly find that there is less than 10 companies (globally by considering remote) where you are the "perfect" match and you can also get in touch with a real person and get their attention. I've been doing that for quite sometime now and although you get interested leads, my experience has been that things end up falling through anyway as I estimate half weren't as well capitalized as they thought they were.

So the OP numbers game is a safer bet and one that everyone is playing right now. Not that I am playing this game but not everyone has the option to remain unemployed for this long.