Heck, I’ve heard the argument “We’re in retail [or insert other fittig market segments here] and Amazon is a direct competitor. Why the heck should we give them any money or any data*?” several times from several companies.
(*Where data not necessarily only meant giving them “company data” but e.g. also metadata about usage, etc. which cannot be avoided and which might give Amazon some insights)
If it is, look at the certificate. Which hostname is it for primarily? Which SAN (Subject Alternative Name - basically a list of all other hostnames the certificate is valid for) are set, if any? Which Certificate Authority issued the certificate or is it self signed?