I think if we allowed asylum seekers to work, then they could certainly contribute towards language teaching.
Using interpreters is just kicking the can down the road. I think making language eteaching accessible and mandatory is so key to bedding immigrants in - and in addition, it would promote the safety of women and girls immeasurably, because women in abusive situations would be able to communicate effectively and thus be more likely to access support.
However, anything we do in this area is going to cost money. If you want people to settle well, you need to invest. Offsetting this by allowing people to work would help, but then the great British public would start screaming about how 'they're stealing our jobs!', never mind that these are likely to be the jobs Brits won't do.
I'm an immigrant, I'm fluent in 4 languages and I've 'stolen' a fair few british jobs in my time including my current one. And sensible ideas notwithstanding, I do feel that racists are having their day in the sun to a degree that is unacceptable.