If interrogators can't lie then interrogated individuals can distill information about police investigations from their comments. I don't believe in misleading people about the law itself, but I cannot deny that there is power in the insinuation that you have more evidence than you actually have.
> there is power in the insinuation that you have more evidence than you actually have
This is true and there is power in all manners of things, including very abusive, immoral and possibly illegal things; there is a lot of power in threatening physical (or psychological) violence to people, for example.
I guess the question is about which usage of power we should (ideally) endorse as a society as a matter of course .