TLS inspection products can intercept the paste transaction before the data leaves the company network, hitting the user with a "No you didn't! Shame on you!"-banner and notify the admins how a user just tried to paste hundreds of customers' personal information and credit card details into some snooping website, or into otherwise allowed LLM chat which still is not allowed to be used with confidential information.
There can even be automations to lock the user/device out immediately if something like this is going on, be it the user or some undetected malware in the user's device attempting the intercepted action. Being able to do these kinds of very specifically targeted interceptions can prevent potentially huge disasters from happening while still allowing users more freedom in taking advantage of the huge variety of productivity tools available these days. No need to choose between completely blocking all previously unseen tools or living in fear of disastrous leaks when there are fine-grained possibilities to control what kind of information can be fed to the tools and from where.
There are plenty of organizations out there where it is completely justified to enforce such limitations and monitoring in company devices. Policies can forbid personal use entirely where it is deemed necessary and legal to do so. Of course the policies and the associated enforced monitoring needs to be clearly communicated and there needs to be carefully curated configurations to control where and how TLS is or isn't intercepted so employee privacy laws and regulations aren't breached either.