@m I have a special circle prepared for infidels like you in GNU/Hell.

No, the AGPLv3 is not an "EULA", as it respects the users freedom and doesn't require acceptance merely to use the software;
"You are not required to accept this License in order to receive or run a copy of the Program. Ancillary propagation of a covered work occurring solely as a consequence of using peer-to-peer transmission to receive a copy likewise does not require acceptance. However, nothing other than this License grants you permission to propagate or modify any covered work. These actions infringe copyright if you do not accept this License. Therefore, by modifying or propagating a covered work, you indicate your acceptance of this License to do so."

The part about respecting the freedom of the users who do their computation via your server doesn't kick in unless you modify the software either;
"Notwithstanding any other provision of this License, if you modify the Program, your modified version must prominently offer all users interacting with it remotely through a computer network (if your version supports such interaction) an opportunity to receive the Corresponding Source of your version by providing access to the Corresponding Source from a network server at no charge, through some standard or customary means of facilitating copying of software. This Corresponding Source shall include the Corresponding Source for any work covered by version 3 of the GNU General Public License that is incorporated pursuant to the following paragraph."

https://www.gnu.org/licenses/agpl-3.0.html


Meanwhile "EULA"s restrict copying, distribution, modification and sale of the software and even try to restrict the running of it.