The result of deleting cookie is different in different browsers?

one of my previous questions is how to delete Baidu statistics cookie to kill the second-level domain name. Then search for a method:
configure in nginx:

 add_header Set-Cookie "UM_distinctid=deleted;expires=Thu, 01 Jan 1970 00:00:00 GMT;path=/;domain=css.example.com";

then, it is found that the results are different for the same address Chrome (version 65.0.3325.181 (official version) (64 bit)) and FF (59.0.2 (64 bit)):
FF:

CHrome:

Mar.02,2021
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