All Intel Macs to my knowledge can boot into Internet Recovery.
Slightly off-topic, but sorry, you are mistaken. My Intel 2019 MBA (currently running Sonoma, slowly) can NOT sucessfully boot to Internet Recovery. Attempts to do so result in a spinning globe, followed by a lengthy download and finally an error -1008f failure.
This started after an upgrade to Big Sur, which also updated the T2 firmware. I skipped Catalina, so I don't know if that would result in the same thing, and I don't know if non-T2 machines are affected. Unfortunately, firmware 'upgrades' are a one way street. Apple Support's response was ¯\_(ツ)_/¯
If I reinstall Mojave on that MBA, it can't boot to Recovery
at all, Internet or otherwise
- attempts to do so result in the spinning globe and error -1008f
. The firmware also includes a startup security feature which, by default, disallows booting from external media. If you've never changed that and the Recovery partition gets damaged, then at best you are stuck with no Recovery, and at worst your machine is bricked.
I do not believe you can download a copy of Mavricks (OS X 10.9) outside of Internet Recovery. Mac OS X 10.10 will work on the machine just fine though.
I don't know if Mavericks can be reinstalled using Internet Recovery on machines that originally shipped with it, but I doubt it. If you purchased it via the App Store in the past, I believe you can re-download it, but otherwise it seems that Apple really doesn't want you to have it. I've never seen an explanation for that. I managed to install it on a 2008 MB using the the ISO I mentioned above, and now that machine has a place of honor on top of the pile of all my other disused obsolete MacBooks