That's just standard practice because so many people would just give up and pay rather than fight because "lawyer" is a scary word, that they actually profit by doing so. Their legal team probably handle dozens to hundreds such cases every day and I bet most never get a small claims against them.
More importantly - if it came to it, you would just demand the transcript from the support session. It's up to them to provide it, not you.
In my experience, companies will fight tooth and nail because it takes a LOT of effort to actually bother to argue with them and most people just don't know how to do it. I've had run-ins with Three, I took down a car insurance company entirely, I fought against a letting agent and cost them £10,000+ and many of their landlord customers, etc. and plenty of others. Because to me it's a game and a point of principle. I've been threatened with court many times, and I've never yet once set foot in one. Strange that. Might have something to do with the fact that when they threaten it, I gladly accept their offer and say if there's anything I can do to advance that process to court, they should let me know. I have, though, also initiated actions that literally stopped companies in their tracks and made them realise that I wasn't going to ever go away - and then they actually bother to read the complaint and evidence (which they simply don't bother to do up until that point) and hastily backtrack and settle.
People need a grounding in legal basics, especially contract law and that's what written often isn't cast in stone even if you willingly agreed to it! They also need to drive such complaints past the point where it costs the company more money than it's worth, and do so on a regular basis whenever they see such things.
But, yes, the standard response is "do nothing and deny" and point at terms and conditions that are basically unenforceable in the situation, and not bother to do anything until you're about to cost them money (and then they will make an offer way under the amount of money it's already cost you or them in terms of hassle, and significantly less than it would ever cost them otherwise anyway).