Will GM 200r4 work with factory floor shift location?

Redfish, your right. It's better to use a longer cable to get the correct radius on the turns where a shorter cable might bind. You didn't mention what type of trans your running?
The stock shifter handle is close to the middle of the tunnel. The stock set-up uses two levers, one attached to the upper rod and one attached to the lower rod. These two levers together move the shifting movement about 4" or 5" out away from the shifter handle. If you extend the bottom of the shifter straight down through the floor you might think about moving it more toward the driver's side to decrease the length of the lever if you're going with solid linkage. The longer the lever the more deflection you get. Mopar solved this problem by using the torque shaft making it possible to use two levers with a pivot point as opposed to one long lever.

Treblig