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This is a case for Valetudo for sure

Get one Valetudo supported i guess.

The maintainer of the Roborock Home Assistant integration has managed to disconnect roborock vacuum robots from the cloud with a local server. I've been eyeing it but haven't gotten to trying it yet, so please let me know if you do.

You can find it here:
https://github.com/Python-roborock/local_roborock_server

If you’re willing to manually start it every time you want your floors cleaned, I imagine you could get away with a number of them. I have a Shark one that I do this with- it has two big buttons on the front to start cleaning or to go dock itself. I discovered this after I tried for a half hour to get it connected to my home network and it kept refusing so I gave up.

There's a DIY open-source robot vacuum project called Oomwoo that's currently in development and is planning to have prototypes made soon.

It doesn't answer your question right now, but it might be keeping an eye on as a future option

Nothing says you have to download an app or connect it to WiFi. I’m on my second one and it works fine without it.

Don't do robo-rock. 1 year warranty for a $700 vacuum. Mine died 18 months in. They refused to repair or replace it. garbage company.

The eufy 11S MAX is a simple "bump and turn" robovac that doesn't connect to the internet at all. I have one and it works well.

There was a Foss diy vacbot posted somewhere not too long ago if that is up your alley.

i've found one that's called "italian design pumba" and its "intelligent obstacle evasion" is just bumper sensors. there don't appear to be any cameras, infrared, lidar, phone apps, etc., which is exactly what i'm looking for!

you might have some luck looking for older brands/models along those lines from second-hand shops and refurbished resellers. they're way cheaper too, as a nice bonus

https://maticrobots.com/ I have 2. Pricey, but do a good job and my data stays my own.

Some "creepy corpo" Stolen.

Hoover

Do you have a cat?