Re: To be honest
Let's hope that website is a large one: eBay. Someone using eBay in their area of jurisdiction, i.e. ebay.co.uk has no choice in the matter in terms of using Google services and completing a Google Captcha, to login.
Maybe, just maybe, the eBay customer is happy using eBay, but has no intention of sharing data with Google for analytical purposes. At the moment they have no choice in the matter, there is no way to switch this on/off, within eBay's settings. It's certainly not informed consent, it's forced consent.