> You may not use, or facilitate or allow others to use, the Services or the AWS Site ... to violate the security, integrity, or availability of any user, network, computer or communications system, software application, or network or computing device;
There's no cutoff because it's not about the number of connections; you could conceivably violate this policy with a single connection, and you could be in compliance with a million connections. Note the term "unwarranted" in OP's post.