That would work only for some people and even them will forget to check for updates. They would need a crontab or systemd timer, with git pull and the configure, compile, install pipeline. It gets unwieldy soon especially when you have to update or install dependencies.
It would work for most Linux distros, since this means that it's (probably) open source and therefore the package maintainers could package it with the distro.
If your package is FOSS, having the distros ship it is arguably the easiest approach.
Seconded on having a distro pick it up if the package becomes sufficiently popular. Until then, the ./configure dance is delightfully universal and it makes the downstream packaging folks' jobs simpler.