I've noticed that Safari is a lot better about activating the discrete graphics card only when absolutely necessary and then about switching back to the integrated card than Chrome. Chrome has made progress in this area but there will still be times when I close a tab that had activated the discrete card and Chrome still sticks to it, requiring me to quit Chrome to get back to the integrated graphics. That could explain your battery life and heat observations.
I prefer the way that Chrome handles tabs, though. Having a defined size that doesn't grow to take up the entire bar when only a few tabs are open is nicer than Safari's, and having the tab close button slide to your mouse when closing tabs is also a very nice feature. Splitting off and merging tabs between windows is also a nice feature.
I actually do not even have discrete graphics on MBA so that can't be it
I agree about the tabs though, Chrome does a much better job with that