Nice info OP.
Always a good way to get the tire back on (when using a tube)
Couple things I also do....
If time available and during daytime (or warm area) - If a new tire, I place somewhere that sun can warm and soften the tire...
Then like I/and some ride buds did with sewups, hand-stretch the tire. It may not seem like much happens, but the tire does stretch a small amount when warm. Doesn't seem to make sense, but my experience is that the new tire is just a bit more pliable and easier to mount.
I also find that placing the bead, which is already on the wheel, into the center well all around the circumference (off the bead shelf),allows the 2nd bead to be pushed into place, much easier.
Ride On
Yuri