To some extent you always do, it's a give and take. Just wait and see what the future trade agreements will bring. Spoiler alert - India is really keen on making it easy for their IT people to work in UK.

Allowing high skilled immigration as part of a trade deal would not only be a massive benefit to both parties, but also wouldn't be anything at all like allowing another state to make law in your nation.

The sovereignty part is about being able to decide your immigration policy, not about having one.

You believe that being an EU member prevented having the "massive benefit to both parties" in the past? Is it not more likely that a government that has publicly committed to reducing immigration was not interested in such benefits if indeed they existed?

Firstly, that’s a different point. You compared an immigration policy with sovereignty or the ability to make law in a different state.

Since you want to move the goalposts, yes, the public was and is interested in reducing overall immigration, especially of low skill. Even if it wasn’t, you appear to be suggesting that any immigration would be opposed, especially from India. Not sure where you get that idea from.