Torqueflite taking too long to shift into 2nd gear

Whose valve body and what line pressure are you running? Is the valve body low band apply? Also what is your front band adjustment at, along with second gear ratio lever? Is there any “flare up?” when you shift 1-2 or does it seem to happen firmly? Also, what gear ratio is the trans? Is it stock ratio or does it have a 2.74 low gear in it?

Do you leave with both hands on the steering wheel? Or one on the shifter ready to shift after you leave the starting line. Depending how fast the car wants to come out of 1st gear, could be where the increase in rpm is. So it could be a combination of things and there could be nothing wrong with your trans. In my own experience, I watch the tach and the shift light is there to remind me to shift if I am steering the car because it tried to go left or right off the launch.
It is the valve body that was in the trans when I bought it, don't know brand or low band apply or how much pressure the builder increased it to. I suspect the 1st gear ratio is stock as I've never done a gear change other than have the big block planetaries installed when it was overhauled.
There is no flare up at either shift point.
I launch with both hands on the wheel and put hand on shifter as soon as the front end comes down. When I launched with hand on the shifter I would sometimes pull back on the shifter without realizing it at the launch, so I now leave with 2 hands on the wheel.
I don't watch the rpm on the tach for the 1st shift, I watch the track and see shift light in peripheral vision.
I agree I don't think there is anything wrong with the tranny was just wondering if something simple like band or pressure adjustment would make the shift faster. If not I may have to get a tach with 2 shift lights, which I was hoping to avoid since. I'm a cheapskate plus I just bought a new tach 2 years ago to replace the one that came with the car and is at least 20 years old.