Honeypot theories aside for a second, I think the very least they're doing is selling data.
Theres enough information you can capture to profile people based on age, location etc, which data warehouses will pay a lot of money for.
In the before time, when I used to work in marketing, when you bought data for a targeted campaign it was highly specific. You could have it segregated by any criteria you wanted. Companies that are selling this kind of data pull from various sources and mash them together to profile people for you, ie if you wanted to target your campaign at anyone in a city earning 50K a year, they could do that in a heartbeat and hand over a spreadsheet full of email and postal addresses. PayPal information is definitely one of those sources. I've heard it first hand.
None of your personal data is sacrosanct, no matter what a website's T&Cs may tell you. The fact that PowerChat is outright telling you they will distribute your data and are quite brazen about it is quite eye opening.
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A "submission" in this context, is not limited to you just calling Baked a fag for a couple of dollars. Its anything you enter (or give consent to collect, ie your PayPal info) on their site.
As a cynic, I too would expect any company to misuse my personal information, because they do for everyone else. But looking at these TOS, honest and naive paypigs may have a reason to expect their personal information wouldn't be leaked to malicious third parties.
For starters, I'm not so sure a "Submission" includes every piece of information submitted to Powerchat, unless "Services" is synonymous with Powerchat itself. But why would "services" include things like billing and personal information? "Services" is capitalized in the TOS, but not defined. The closest I can find to a description of Powerchat's services is on the
front page:
https://powerchat.live/
The "service" Powerchat provides for "supporters" is a conduit for "paid chats," while allowing supporters to "remain anonymous, or provide their name along with an optional message." That is what is advertised anyway. So if you're a supporter, "the materials you provide, post, upload, input, or submit to the Services," i.e. a "Submission," refers to the information you type in the text field of the "paid chat" feature. That would not give Powerchat or "affiliated companies" permission to "copy, distribute, transmit, publicly display, publicly perform, reproduce, edit, translate and reformat your" personal information.
Elsewhere, the TOS and Privacy Policy do make some representation about how personal information is handled with respect to "third parties:"
https://powerchat.live/privacy-policy
(Keep in mind, Baked Alaska is not a "third party".) So while Powerchat says it won't "sell, rent, or lease its customer lists," it can "share data with trusted partners," and it appears "data" includes "personal information." Who are "trusted partners?" That term is not defined. Is America First a trusted partner? What about AF-affiliated streamers who also use Powerchat?
The OP notes that if you use third-party websites such as PayPal, and they're linked with a PowerChat account, your doxx will be available to streamers who receive your donation through Powerchat. This is what Powerchat says about that:
https://powerchat.live/privacy-policy
I don't think it can be any clearer. If you use Powerchat with your PayPal or GooglePay accounts, "YOU ARE CONSENTING TO THE CONTINUOUS RELEASE OF INFORMATION ABOUT YOU TO OTHERS." This is likely what happened with Beardson Beardsley, when he doxxed his $1.00 paypig over a perceived sleight.
Finally:

The "exceptions" listed effectively swallow this "Right to Deletion" of personal information.
Overall, I think it's worse if the TOS provide assurances of privacy, security, etc., because it induces people to rely on those terms. Based on the representations Powerchat has made, donators to Kino Casino could expect that Baked Alaska would not use Powerchat as a doxx list to help friends such as Ethan Ralph or Nick Fuentes get personal revenge. Obviously that would be very naive, but the TOS suggest personal information would not be used in this way. Otherwise, if you linked PayPal or GooglePay to your PowerChat account, you're fucked, your doxx are out there, and you really should have known better.