Boost Punch (1-11) is a 1 second proportional extra watts before settling back to your set watts. Any material.
Preheat Punch (1-11) is only for Temp Sensing materials. The higher the number, the closer it gets to the Temperature set before ending Preheat settings.
So the preheat won't let your watts get much above your set temp. You could end up getting the 'karloz bump' for a quick bit. Boost knows nothing about temp.
No, will not boost the same
All preheat settings will end the closer yo get to the preheat temp/punch value.
The TFR is for a material type, not related at all to atty or airflow or coil specs. That sounds more like the wrong cold ohm setting (value).
I only ever use Replay in 'watts' material with SS316, SS430, Invar 36, Titanium. Others will promote combining it with TC but I do not. Makes your life much harder, and should really only be needed in a very few unique instances.
You can see all these differences (answers to your questions) with Device Monitor, with the Power, coil ohms, and temp boxes enabled (checkboxes)