IR35 already does apply to the private sector - it's the changes he's talking about
If you pass the current IR35 tests (more than one client, control your destiny, don't have an office/phone/card from an employer) you should be OK
the danger is that a company who employs you will decide to avoid any risk and just say you are an employee -your choice in such a case is obvious - you quit working for them
A freelance instructor with his own 'plane is operating through their own company and has many clients/customers but no "employer" so they should be OK - if, on the other hand, you are freelance and working for a training company who say provides the 'plane.......... well, unless you work for several different ones, you are already probably in trouble if they catch you.