No. I think you seemed to have misread my point in it's entirety.

Step back once step.

The game show host will ALWAYS show you a goat - regardless wether you picked a goat or the GTI.

It simplifies down: You never had three options, only two. you can only choose a goat or GTI (two options not three). hence why uou have a 50/50 chance, and hence why it comes down to chance/luck. (regardless of wether you change your choice after the first illusion.)

(to eleborate: regardless of whether you pick a goat or GTI from the first 3 doors, the host can always pick a door with a goat. which eliminates one door and leaves you with two doors> one with a goat, one with a GTI. thats the part where it boils down to 50/50. The host's choice of door isn't dictated at all by your choice, He always chooses a goat, it's merely an illusion to create the insecurity in your choice, more for TV ratings than anything else.)

just my take on it all anyways.