I honestly never really had a problem using low petties on a board. But I can understand how some people might not like it. You just have to hold it a bit differently... or put your product closer to the edge. I bet @stringer has a video somewhere demonstrating it!
I really only found it a problem on rimmed plate; I have some wooden plates and petties make generally make decent cheese knives, but the combination of low height plus plate rim is suboptimal.
My wife can prepare an entire chef's salad with a Henckles paring knife.