Are we able to get a copy of the Form 201 for an SMSF company set up?

No. Form 201 are no longer available even with ASIC. We are sending the applications over through API so Form 201 are not generated.

You can check this out for confirmation - https://asic.gov.au/regulatory-resources/forms/forms-folder/201-application-for-registration-as-an-australian-company/