Oh no Google ReCaptcha doesn't work that way. In case of rate limiting, they will just throw an error. It's probably some clever JS or CSS that got a bug in it. Here's the official thread on GH: https://github.com/google/recaptcha/issues/268

Disclaimer: We built a solution at SerpApi.com to solve those offline using ML. Timing of solving doesn't matter. It will be odd that they do that just to annoy user when it's not a technical limitation.