Thank you for the quick reply.
I should mention that I am using Debian 12 and Apache. I noticed that in some panels (all version 7.0.28), in the directory /www/server/site_total/scripts/, there is a file called apache_cookie.conf, which seems to be responsible for creating the cookie, whereas in others, it was not present. In fact, not all panels were creating the SITE_TOTAL_ID cookie, even with "Site monitor" enabled.
Basically, I’m not sure I can give you a definitive answer, so I’m politely asking you: "Would turning it off fix it?"
In case I wanted to uninstall or completely disable the cookie generation function, how could I do that (on Debian 12 with Apache)?