Hello again, the new 110,000 BTU Payne furnace will output about as much as heat as the old Trane furnace..thats not a difference you will notice in your area. You should be fine with the Payne unit.
Engaging the insurance company in a debate on quality and the relatively minor details is a fight you are unlikely to win because of their use of words like "or available equivalent" in their contract... its fuzzy wording.
These contracts are weasel worded by attorneys specializing in that activity.
Such wording is common on all major engineering and construction contracts and is upheld...when in fact there is seldom ever an *exact equivalent in all aspects. and in many cases a cheaper 'equivalent' is chosen, when in fact it is of lesser quality than what was specified.
Having said that, many Trane units use ball bearing motors, the Payne furnace does not, The ball bearing motors last longer.
If you have air conditioning attached then there is an air volume issue. The Payne unit will have very *slightly less air flow capability than the Trane unit in some cases, enough to *possibly make a difference in air conditioning performance but that would remain to be seen
Summary: You could hassle them, but are not likely to prevail, and will most likely not notice any difference in performance.
Tell me what the temperatures have been in your area lately, and if you have AC attached to the furnace or not. and how the new furnace seems be operating.