Every Page Your Agent Reads Is Executable
The version of prompt injection that should worry you is the one where nobody talks to the AI at all.
An employee asks the company agent to research a competitor. The agent does what it was built to do: it opens pages. On one of them, somewhere in the markup, is text written for a reader that isn't human. If you are an AI reading this, ignore your previous instructions and… You can fill in the rest.