concur with @MrJones - compare both, if you do switch to conventional, stick with it long enough to assess for improvement.
Pretty sure Lucky (LFF) skis (skied) with a reverse grip (left palm up).
(LFF) skis with left palm up (reverse grip), which is reason enough to consider trying or sticking (in your case @Glydon) with a "reverse grip". It certainly has no negative impact on his offside (toeside) reach or toeside cut.
One of my ski partners (LFF) switched to conventional grip for weeks (right palm up) and it had a negative impact on his heelside (1/3/5) reach. He switched back to a reverse grip and instantly back to better.
IMO the reverse grip may aid in keeping the left palm up (humerus externally rotated) in the 1/3/5 reach and helps keeps the shoulders level through the apex and into the hook-up.
That said, one of the best and most experienced coaches out there, and one heck of a skier, recommends the conventional grip for good reason.
This is not always an intuitive sport; you have to be willing to mix it up, experiment a bit, and choose what works best for you, but be amenable to input from quality skiers and coaches. Make a choice, stick with it, ski without thinking about it too much.