SpaceX will allow mobility on their service soon when they go for Stable launch after Beta(current situation) . Still you can move it a few metres and use it.
After the proper launch , it can be installed Home-Trucks , Yachts , Ships , Mobile-homes , etc . Maybe a car mount can also come in the future
It is best suited for villages and half-urban areas. And price is definitely high which Starlink should consider when they are planning out a roadmap for implementation
Wireless space(spectrum) is definitely limited and Rural areas should be benefited more than Urban areas . I believe Fiber should only expand in Urban areas and if Starlink starts rolling out to mass public in Urban , it will be the same condition as 4G in India .
The satellites launched currently are already congested in Europe region with just the Beta programme. Imagine India with such dense population