You can't seem to get past the fact that TC is not the Holy Grail nor is titanium or nickel wire. We are talking about differences of a few percent, granted, but at the levels of resistance and accuracy, and lack thereof, inherent in the devices it can, and does, make a difference. Again, you are in a world of lab standards and applying it to real world electronics made in China by the cheapest possible methods. I'm sure we've all seen differences between what an ohm meter reads versus what our mod reads on the same coil, and that is more than a small percentage of difference. Any difference between true resistance and what the device can resolve, no matter where that difference comes from, resistance curve, device accuracy, quality of wire, quality of connection or which way the wind is blowing and is it an even or odd number day, is going to change the operating temperature.
All that said, the TC curve is not linear for anything. The curve does vary. Dancing on a pin, maybe, but a two or five percent variation at these levels can make a significant difference in temperature and performance.
If you want to believe that your device is reading the temperature of Ti or Ni accurately, that is your choice. At best, given the technology as it exists right now, it is an approximation. Accept that as fact, not fiction, and in plain English.