There are huge problems with the google captcha.
Ok, the technical details of this captcha are googles trade secret, so i can only describe an informed guess about what i observe.
The captcha claims some sort of "behaviour based" response. That seems to be just a misleading name for using all sorts of advertising trackers as input to the captcha process.
If a user cares for his privacy and uses Ad blockers, cookie managers, Javascript-filters, etc. Google will fight this and punish him. The captcha will never end, Google will deny access to your service.
On the other hand, if a careless user has a huge footprint on googles tracker databases, the captcha will not even show up and just pass the user.
So in the end, by using the captcha, you are rewarding carelessness, and punishing responsible behaviour.
This is not a "I am not a robot" thing, this is a "track me now" thing.