Where's this TOS from? The anti-cheat's website says within their privacy policy:
"We only handle data relevant to the identification of cheats, as found in the Unit's runtime memory during online play or as collected by the game server. Other than that, we do not store any data on individual users and have no intent to ever do so. There are three steps in how session specific data is stored and processed."
https://www.easyanticheat.net/privacy/
Also it appears it would only be Ubisoft spying on you as
"we do offer the possibility for uploading in–game screenshots to the organiser's servers. Note that those screenshots will never touch our servers. In order to participate in such tournaments you need to agree with the organiser's EULA, EasyAntiCheat is not responsible for the data in any way. In these cases, the EULA is fundamentally different from the one typically used by EasyAntiCheat's integrated games"
As this only takes in-game screenshots, only during tournaments and only by request of the organizer
Anyways, punkbuster does the same, and punkbuster runs 24/7 not just when you're in game, I'm sure you've All used PunkBuster at one point, or still use it [Mainly battlefield]
"Licensee acknowledges that PunkBuster software is optional and is not a requirement in any respect for using or enjoying games that integrate PunkBuster software technology. Licensee also acknowledges and agrees that PunkBuster software is self-updating, which means that future updates will, from time to time and without any notice, automatically be downloaded and installed as a normal and expected function of PunkBuster software. Licensee further acknowledges and accepts that PunkBuster software may be considered invasive. Licensee understands that PunkBuster software inspects and reports information about the computer on which it is installed to other connected computers and Licensee agrees to allow PunkBuster software to inspect and report such information about the computer on which Licensee installs PunkBuster software. Licensee understands and agrees that the information that may be inspected and reported by PunkBuster software includes, but is not limited to, Licensee's Internet Protocol Address, devices and any files residing on the hard-drive and in the memory of the computer on which PunkBuster software is installed. Licensee acknowledges and agrees that if Licensee does not want Licensor to collect and process such information, Licensee should not use the PunkBuster software. Further, Licensee consents to allow PunkBuster software to transfer actual
screenshots taken of Licensee�s computer during the operation of PunkBuster software for possible publication. Licensee understands that the purpose and goal of PunkBuster is to ensure a cheat-free environment for all participants in online games. Licensee agrees that the invasive nature of PunkBuster software is necessary to meet this purpose and goal. Licensee agrees that any harm or lack of privacy resulting from the installation and use of PunkBuster software is not as valuable to Licensee as the potential ability to play interactive online games with the benefits afforded by using PunkBuster software."