Boeing is going to fix this by installing tyre _presence_ sensors.

Nah, they'll be going for the latest iteration of TriMCAS - Tricycle Manoeuvrability Characteristics Augmentation System - which makes the plane behave more or less like it should plus or minus some tyres. They'll make the whole system dependent on a single ABS sensor in one of the front wheels though so if that wheel happens to fall off the plane will ground loop upon touching down.

With no manual override.

But only sometimes. ;)