I am ambidextrous but it didn't translate to disc golf for me until after a couple of years of playing regularly. I get a lot more torque on my LHBH, but have better control RHBH at about 250' and in. I'm able to throw at all ranges with both as well as putt with both.
I do find myself having trouble stepping up to some holes. I'll have a line considered and a hand and will sometimes second guess the selection on the tee pad, leading to a switch of hand, possibly disc, and take an extra throw or two on the hole. Definitely one of the least refined elements of my game - commitment to my shot.
With that being said, it's certainly a skill/ability worth having and one I enjoy, keep working hard on it and good luck.