negative!!!! I mean even though you've limited the TO perf---it not as limiting as it seems because of ---let me see--- the laws of physics
think it out ----it's ok to be wrong I've been wrong many many times and I am man/ and pilot enough to admit it--and I then learned the correct answer---you've left the learning process already--yet the mountains wont move for you---your dug in deep redeem yourself now---also Old Smokey, John Tullamarine and Mutt ARE performance experts--so you should pay them for teaching you something new about performance--and I think Cessna, Mr. B and Airbus also mayknow a thing or two about performance...
edited to add that V in the 1/2 rhoV^2 ===TAS!!!!
---I reread your post