Yes, the nature is truly incredible

. We rented a 2 wheel car with higher clearance (Hyundai Creta) from The Rent (
https://therent.kz). So far everything went great with the company. They speak English and answer fast on WhatsApp. You can just send them a message there to request a car.
The roads were paved in general, so good to drive, but from Basshi to Almaty there was a part that was under construction and only a dirt road next to the real street was possible to drive. Also inside the Altyn Emel Nationalpark the roads were only dirt roads (the one to Aktau mountains is worse than the one to the singing dune).
It is possible with a 2 wheel car if you drive very careful, but you definitely need a higher clearance car. In our opinion we wouldn't rent a 2 wheel anymore and go with the 4x4 because we were constantly worried to break the car on the dirt roads that were worse than expected and indeed had a flat tire.