It's Grade II* listed as an outstanding example of mid-century modernist design. I haven't seen it up close for years, so don't know what state it's in (mid-century concrete doesn't do well if it's not maintained) but it was award winning when it was built and needs to be preserved.
It also needs to be used however.
There's a parallel with a block of student accommodation near me in Newcastle: Henderson Hall which is also Grade II* listed. (The design isn't similar but the listed status and the situation is). It stood empty for years like The Lawns, then one night it mysteriously caught fire and was extensively damaged. Everyone then thought it would be torn down. But no. Newcastle University were ordered to rebuild it, which they are doing at great expense.
It was an unused University accommodation block. There are currently no firm plans for what to do with it when it's complete. The university website says 'Discussions about the future use of the building are continuing.'