Nelco makes shrink tubing and wire ties if you look at their company info. They
even refer to "Ideal" wirenuts.
I thought the "strip away an inch and a half of insulation" was interesting and
the "wires of the same color" remark was just baffling.

Ideal is the company that owns the name "wire nut" and they say you don't have
to twist the wires but when using stranded wire and solid it may be "helpful"
to "lead" the stranded wire around the solid to get it started. The
instructions say nothing about tape.
I wrap the stranded around the solid, allowing it to extend about 1/16-1/8"
past the end of the solid, then screw on the nut. That makes a very solid
connection.

I have never used the push ins but some people like them. Only time will tell.
I can remember when the push in wiring devices were supposed to be wonderful.
Now they are universally despised because of the failure rates.