Earlier quoted context omitted.
I would be happy if my router supported letsencrypt. Why would I even bother copying and distributing self-signed certificates if I can just properly get a certificate for my own personal router? It’s idiotic that people still trust pure HTTP and have no option of switching.
If your router needs configuring before it can access the Internet, then it can’t use certificates that require the internet to generate or validate. Or if you change ISP and need to change your router internet connection configuration, your router cannot be accessed.
I understand if that router is something industrial, but then you can probably figure out how to do that over SSH anyway (which is secure).