Our perceptions are shaped by our cognitive limitations. A dog doesn't know what the Internet is, and completely lacks the cognitive capacity to understand it.
An ASI would almost certainly develop some analogous technology or ability, and it would be completely beyond us.
That does NOT mean we would notice we were being affected by that technology.
Advertising and manufactured addictions make people believe external manipulations are personal choices. An ASI would probably find similar manipulations trivial.
But it might well be capable of more complex covert manipulations we literally can't imagine.