Sounds about right. But we don't really do any of this for the western europeans in the UK. There's nothing to assimilate to if they speak the language it's ehhhh that's it really.

Eastern europeans on the other hand would follow a shortened process like that, unlike non-europeans where the process is longer.

This is an interesting realisation. I assume it's partially racially/culturally motivated while the other part is probably that it's actually harder for non-europeans to integrate because they're actively treated differently. Definitely a thing going on.