use any cookie

No …

Concerning GDPR: The only personal data that might be applicable is the IP cache. So if you are using Maxmind Precision or hostip.info, the response concerning a specific IP is saved so that the response time might leak if this IP has visited the website within the last 7 days. To disable this cache, set this constant in your theme or plugin (e.g. functions.php):

define(‘GEOIP_DETECT_READER_CACHE_TIME’, 0);