It’s very hard to compare. They both feel very different. I feel like I would definitely have an advantage playing fighting games on a Nomad on an already unfair Genesis controller. The Nomad library is no doubt good. i feel the buttons on one in great condition are remarkable.
The Lynx is still very good though. The blockiness of the joypad works very well and feels good and responsive. I played on one from Brooklyn Video Games, and the stick feels very very good despite it being like 27 years since the console was released, if that late, if the console was released later.