We've seen Google ask searchers if they were or are happy with the search results. But I've never seen Google send a push notification to a searcher, after a search was done, asking them if the search was helpful.
@SeoKristal received one the other day that asked her "how helpful was Google?" She shared a screenshot of it on Twitter and said "This is the first time I have ever had a notification to complete a feedback survey on a search. Very interesting." Indeed!
Google does many types of polls and surveys in the search results and I guess they also do them via notification now.
Forum discussion at Twitter.
Note: This was pre-written and scheduled to be posted today, I am currently offline for Yom Kippur.