No but folders in general sacrifice handling for foldability. Super long stem + small wheel = nearly impossible to perfect both balance and steering geometry. Even if they didn't 20" wheels with your COM at close to normal height is going to lead to ****ty handling. Not to mention your absurd position on the bike(from your help my hands hurt thread) but of course you could replicate that on a track bike anyway.

If you don't think you would do better on a track bike you are seriously delusional. Your tiny wheels may be more aerodynamic but a track bike will:
-Handle better which is of prime importance unless you are purely a breakaway guy.
-be much much stiffer. While the relation between stiffness and efficiency is debatable I think anyone who has mashed on a folder can see pretty clearly where the super long stem and folding lead to a bike that is far from optimal.
-allow better position on the bike. Sure you can adjust it by moving the seat and bars but the limitations of folding combined with them not being meant as race bikes makes it hard to get an ideal position for the short efforts required on the track and even harder to match this position with ideal weight distribution.

Maybe it's not enough of an advantage to make up for any engine or tactical deficiencies right now. But you are starting to sound like you think of your folder as a long term solution on the track which it isn't. You probably feel uncomfortable on a track bike because you are used to riding your ****ty folder which(probably) steers with the bars as opposed to your weight.

Your suicide cog is fine but seriously consider using a track bike on the track even if it is just a loaner.