Should the transaction name change when I change payment category (because it does) to something from the previous trasactions?

It's my priority to help you sort this out. All the downloaded transaction from your bank it remain the same name even though you've changed the payment category @vpinenkov.

I've conducted research here and found out that there was an open investigation before. However, its already been resolved. To isolate this case, I recommend reaching out to our Customer support, as they have the tools to pull up your account and gather some data information to fix it.

You can follow the steps below to connect with us: 

1. Click Help and Enter questions. 
2. Tap Contact us. 
3. Then select your preferred support method: Message an agent (Live chat), Call an agent, or Get a callback.

Keep in mind, some options are only from: 6:00 AM-6:00 PM Monday-Friday 6:00 AM-3:00 PM Saturday. 

Just in case, I've added this article for your reference: Categorize and edit transactions in QuickBooks Self-Employed.

Fill me in if you need anything else. I'll be more than happy to help you. Have a great day!