Google is in the business of advertising. They do not stand to profit from giving you that information, unless they had an affiliate link from an advertiser tha

Google is in the business of advertising. They do not stand to profit from giving you that information, unless they had an affiliate link from an advertiser that offered similar services for a lower price who'd be willing to pay X to acquire a new customer. While this level of ad targeting is not available, based on the gmails they read, they have it on your profile. Also, you can always buy your own domain name for a few dollars and take it with you anywhere, hosting with reliable email providers.