This is a bit disingenuous. I applied on the 15th July and had my Medical today (30/09/21) so I am not entirely sure what the 15th July date refers to.
It is taking 6 weeks to cash a cheque/PO, then 2 weeks to write to you re a medical.
After that it's a guessing game. My medical took 2 weeks to arrange due to GP's holiday, and I have no idea how long the next stage will take.