Ok, for now let's rule out a lighting problem. Lighting problems are more common when the screen is cooler than the prints.
Do you have another computer in the house you can test the calibrator on?
(It doesn't need to be an editing computer - any old computer will do.)
In cases like this it's always important to check if the problem is the calibrator itself. So to that end, have you tried calibrating a different computer, to see what the result is?
If orange bulbs were the problem, then your screen would look colder than your prints. But you said your screen looks warmer than the prints, didn't you?
Ok.
Even though these instructions are for the Spyder5, not the 4, I think you should read the "Part 9: Troubleshooting" at the bottom: https://www.damiensymonds.net/cal_S5P_mac.html
See if any of that info helps.
Thank you.
I can't figure out the cause of the problem, and I can't make my Bridge do it.
So you'd better reset Bridge's preferences. http://blogs.adobe.com/jkost/2009/10/resetting_bridges_preferences.html
Unchecked, I'd say. Since the resolution has already been established.
You can't go on living like this, mate. It's time to make your life MUCH easier. https://www.damiensymonds.net/bridge-30-day-challenge
The resolution at which you send the files from Lightroom to PS is irrelevant, don't worry. As long as you're entering the correct size and resolution in PS's crop tool, that's all that matters.