I'm not sure about stopping insensible sweating (I think the correct term is "insensible" rather than "sensible" sweating) with a VBL. However it may not make a lot of difference whether it stops or not. What's more important is stopping it from evaporating. That cools you a lot. If you can just keep that moisture in a liquid state you will stay quite a bit warmer. That's what a vapor barrier does.

Now whether you can sleep with that clammy feeling is another question. I can sleep with VB socks on but that's about it. Some can't do that.