Modems are anyways way more insecure due to the default password being admin or 123456, etc. And many are accessible from the public internet.
I think my modem got hacked due to that (I saw some login attempts a little before the DNS got changed causing Youtube to stop working).
You can't do this with Let's Encrypt out of the box (unless you make small numbers bespoke devices) because of their Rate Limits. But several commercial public CAs like Comodo would probably be interested in cutting a deal with a big electronics manufacturer or a trade group.
And how is first time setup supposed to work anyway? You need to connect to the administration interface to give it your ISP credentials before it can connect to the internet and obtain its Lets Encrypt certificate.
If you forget about Lets Encrypt and instead point hundreds of thousands of router-<serial>.vendor.com addresses at 192.168.0.1, with a pre-made certificate, you then only have the problems of baking an individual private key into each router at the factory and boxing customised documentation (like maybe a sticker on the router itself) telling the user what the unique domain name is they need to setup their device. Oh, and the problem of what to do when the user wants to change the local address used by their router.
Or would every router get its own certificate? But then netgear would have to become its own CA.
And in either case DNS hijacking is a massive issue.
Why? They could just partner with an existing CA, like Cloudflare does with Comodo.
And how would DNS hijacking be an issue? The attacker wouldn't be able to produce a valid cert anyway (the router would come with a custom burned-in key that it would use to authenticate itself to the CA and get the cert).
I take apart the router, and get a valid certificate. Now I hijack DNS, and get you to connect to me.
HTTPS within LAN for this purpose is useless.
You only get a valid certificate for your router's address. But if you can take apart the router, you don't need to hijack the DNS, you can simply control its traffic.
But if you're a guest in my home and I see you take apart my router, you'll have to answer a few questions. Same in an office or coffeshop. Having LAN access doesn't mean you have complete physical control of the router. So the HTTPS is not useless.
Considering basically every router has the same address, I now have a valid certificate for basically every router.
They have the same IP address, not necessarily the same DNS hostname, which is what the certificates are tied to. The user would just be told to connect to the hostname (possibly printed in the sticker) rather than to the IP.
There is no option for any of this that isn't completely messy and hacky
As a bonus, the user doesn't have to change anything to keep accessing the router admin page after the switch.