Not usually the case. If you can provide those documents and speak to a Google representative (if rejected), then you will be able to confirm your sole trader business.
The problem there is "speak to a Google representative".
If you are lucky to get through on one of their phone numbers, first you will have to wait over 2 hours, if you havent given up by then, then you will be confronted by a customer service operator in hydrabad, india who wont have a clue how to help you, but will be very polite and tell you they will get back to you.
When they back to you by email they wont have answered any of your questions, they will give you the same information they started off with which wasnt helpful, hence youve been sent round in a circle.
When you email them, replies you get are as though they are from AI, bots or copy/paste templates responses. You can test this by asking a specific question, in their replies they will avoid answering that question by giving a generalised answer like 'We have given you all the information we could in our previous email to you, thanks for your understanding"
I mean I could post the replies i got from them, it was over the span of about 2-3 weeks and we just went round in circles, but I was also offered information which wasnt true (checked with their support forums). Then the support stafff decided to stop replying.