I was replying to your question that appeared to ask: “When I apply for my licence, will I get a provisional?” You didn’t mention that the court had ordered you to retake your test. That is why I said you had answered your own question.
Your question seems to be: “If I sent off a D27p form, will I get a provisional?”
The answer to that is yes, that is why DVLA sent it to you. It is a standard form to apply for whatever licence you are due.
you do not have to get a D1 form. The government website talks about a D1 For applications for a licence, not the restoration of a licence due to the Drink drive or other disqualification process, but the D1 can be used if a D27p does not arrive (as was the case during the worst of the lockdown)
the two forms are, in reality, identical. They just come from a different place, but if you look on the DVLA website you can order a D1 and they send you a D1, not a D27. How about that for clarity of purpose? (Not)