That is, they can negotiate with you using your desire to access their servers as leverage.
You can refuse to negotiate, in which case they can take steps to block your access to their server. You can use technological means to get around that, but then they can adjust their own technology to block your new strategy.
And then you're in a war.
You said "there is no war", but obviously there is.
Your choices are:
* use the servers and look at ads * don't use the servers at all * use the servers and try to block ads
In this third option (which seems to be the one you chose), the people who own the servers can then try to block your access to the site. You can then try to circumvent that block, then they can try to block you again.
This is a war. You said "there is no war".
The subtext here is that, grand proclamations about sovereignty over your computing devices aside, by making other people's servers a crucial component of your computing you are ceding to them some leverage and therefore control.
There is no war, because I'm not going to fight. I'm going to viciously restrict what runs on my system to protect my own security and privacy. If that makes some services or sites become unavailable to me, so be it.