We use DocuSign here and the amount of time I spend hopping back and forth (exporting and importing) between Google and DocuSign is annoyingly high. If Google were to enter this space... I would personally welcome it.
Wish I never had to use this Google suite of products if it wasn't for my employer.
It got a lot simpler since they nuked tags in favor of folders.
If you're doing contracts, how about a webform where you ask the signatories to answer 5 questions to prove they understand the terms then click submit? That is miles more legally defensible than an e-signature.