Very few cymbidiums (if any) are true terrestrial growers (In earth/soil).
Most are semi-terrestrial (on the ground, but not in soil) where the roots have more access to air compared to a true terrestrial plant but at the same time have access to more water from near the soil's surface when compared to epiphytes.
In the wild, most "ground orchids" have their roots living in the leaf litter a few inches above the true soil - which gives the casual observer the impression that the plants actually are living in the soil.
Basket culture could work for cymbidiums, but there are several factors that will make it challenging and would increase the amount of work involved in its care.
Baskets dry out faster than pots and cymbidiums require a lot of water. This means that you will need to water the plant more often compared to having it in a pot.
If you are a heavy waterer in the first place, then this could work to your advantage.
You will probably need a very sturdy basket. Cymbidiums tend to grow on the heavy side so you need to monitor the plant hanger for any signs of stress as the plant grows.
I hope this helps,