I've had good luck stripping, even wood stain(!), off woodrails using Mostenbocker's Lift-off GEL. Some nice fella here on Spinside posted a long process on a 4 Million BC stripping of latex using Mostenbocker's OTHER product in a spray form. This stuff is NOT the product I use, and it may work fine, but I find the gel to be much easier to use...especially on the rails, since they're curved. I posted a pic of the right stuff, which I ripped from Amazon, so it's available from them. I find it at Low Depot here in the States... ;o)
The gel adheres to the surface nicely, so no soaked rags are needed, and when I'm stripping rails, I remove it with green Scotchbrite pads. You go through alot of pads, since you're constantly gumming them up with the crud you're removing, but have had good to excellent results. Maybe try it before trying the rail swapping? Just a thought.
This product also works great on cabs...and there you can use a paint-scraper to take up the gunk, which saves on Scotchbrites...and it's easy cleanup being non-toxic - I just toss it all away.
Except for that top rail on the head in the early GTB woodies, I believe all the rails are the same...they didn't change the GTB cabinets much over the years...but close inspection is necessary.
FWIW I have always been leery of trying to remove rails...it's certainly doable, but with all those channels and thin slats of wood that go in the channels it seems like there's a high chance of breaking them and/or not getting them back on correctly. YMMV