Google's documentation doesn't say specifically that they check your response time, but my experience with Googlebot and with other crawlers indicates that it does indeed take your site's response time into effect. I know that my crawler did. I based my crawl rate on the response time of the site I was crawling.
See
- More control of Googlebot's crawl rate
- Changing Google's crawl rate
- search on "googlebot crawl rate" for a lot of info.