What Alan said...
Adding a little extra flavour to compensate for the lack of visual and audience-interactive interest is often desirable. Similarly, the lack of verbal introductions on a recording is one reason why we make a point of writing a fair amount of booklet notes, a detail that has been appreciated by some reviewers.

Extra bits like that are a very different thing from over-production though. I think the key is to have some or most tracks in the same unadulterated arrangement as the live performance. If they seem inadequate next to the reinforced ones, you've overdone it!

On the few tracks we've enhanced with other musicians, the result is still performable live with those musicians (except where I double tracked myself...) and we've occasionally done that.

Anahata