Great blog post from NASA themselves explaining it:
https://blogs.nasa.gov/webb/2022/01/06/why-doesnt-webb-have-...the post is really not very long and I would suggest getting it straight from the horse's mouth, but for those not willing to devote a click here are arguably the most relevant bits!
"deployment surveillance cameras would not add significant information of value for engineering teams commanding the spacecraft from the ground."
"Webb’s built-in sense of ‘touch’ (for example, switches and various mechanical, electrical, and temperature sensors) provides much more useful information than mere surveillance cameras can," said Geithner. "We instrumented Webb like we do many other one-of-a-kind spacecraft, to provide all the specific information necessary to inform engineers on Earth about the observatory’s health and status during all activities."