Take it on a grass field or car park, or anywhere grippy, and turn left right on the spot for 10 mins. If it will...
Or try using a leaf blower around your garden where you need to be in many different spots or positions/angles for 10 mins. It will definitely overheat and reduce power further.
Traveling forwards as you turn reduces load hugely. And makes it possible to get it to turn. When you say different style of driving, you really mean learning what it will do, and learning what it hasn't the power to do and avoiding these situations. The problem exists in tank chairs, 4x4 skid steer etc. Because no adequately powerful mobility controller exists for skid steer. Something the manufacturers of such devices initially never understand, then after it becomes obvious, choose to pretend its not a problem and lower the gearing (speed) to try and gain back enough torque to get it to work. Which simply doesn't adequately address the issues...
Another example. SAME problem... Watch the first two vids. They have lots of people complaining, and so now they blame the user for expecting to be able to steer by turning on the spot. As it SHOULD be able to do.
https://www.tankchair.com/instuctional-videos/These DO work
http://www.ziesel-adventures.com/welcome/To make that happen, they use big brushless motors, a controller thats 10x as powerful as a mobility controller, and a lithium battery that is higher voltage and much bigger than the ones used in mobility devices. TJAT is what it really takes to make skid steer work.