There is a current known problem with the SmartThings/Alexa integration, so if that integration is what you’re looking for, it may very well be that as of this writing, November 5, 2017, the Google integration is working much better.
Alexa itself is working fine, however. The issue is just in the SmartThings integration.
Also, before you get too excited about the Google integration, there’s a known problem there as well, but it won’t come up until you add new devices or try to re-link your account. And that problem has been going on for three months now. See the following thread:
So both devices are good, both seem to work quite well on their own, and currently both have known issues with the SmartThings integration.