There is nothing to link the original Mini to the present MINI apart from some styling and some dips into the past names.
The original was a very small basic car. The present is a much larger luxury car.
To bung on all the required electric windows, aircon, low emissions, airbags, safety cage to ncap rating, ICE, abs, safety seats etc on a car today you have to make it completely differntly to how they did 50 years ago with the original car.
If the new MINI is being knocked for being slow then that would seem to be the only thing it has in common with the original from what I remember. The 850 I had was great to corner or pull away but it had nothing in it beyond 50mph.