A number are doing normal PPL training and until a candidate makes a licence application, nobody knows which licence they are training for?
Interestingly the CAA are being very thorough on checking everything at the moment. I just had a PPL application rejected for a student which was entirely my fault as I signed Section 10 for the exams and then had a brain fart and forgot to sign section 9 as Head of Training. When it came back to me it was covered in ticks from the CAA for each exam paper , checks confirming my GR and even checks confirming the Instructor recommending for test.
So I would suspect that any LAPL only training is highly likely to get picked up.