Nothing.
The day tanks didn't contain enough heat energy to fail any columns.
This point has been made to you now clearly. Several times.
At least "try" to counter it.
I am sorry to disappoint you... my "theory" is only speculation because no one actually knows any details of what went down in the sub station or on the mech floors where there was HVAC equipment and refrigerant, day tanks, diesel piping, pumps, building sub station transformers and switch gear.
We do know that the massive transfer structures were field assembled and the members, including the diagonal panels were bolted together with splice plates. I am pretty sure these were much more vulnerable to failure than the very robust members themselves. If there was a failure in the transfers it probably occurred at the connections. If some of... or even one of the connections failed a member could drop fairly easily rendering the truss non performing and what it supported.... 40 story concentrated load would drop down. There would be no other outcome.
I don't know how the tanks were replenished. But the power to do so had to be from both battery and then the generator themselves... powering the pumps which replenish the generators.
I don't know the energy available... bit hundreds of gallons or thousands of gallons contain an awful lot of destructive BTUs. I do know that the building's engineer Cantor opined that the diesel could have destroyed the a (the) truss(es). The fuel tanks were not part of the original scope to be considered in the design... they were a retro fit project . I seriously doubt that such an installation would be permitted today.
Why was this not explored in more detail by NIST? One can only speculate. One way to not explore it is to dismiss out of hand (as you have) that there wasn't enough diesel available. Ergo nothing to look at... move on.
However if one assumes there was enough diesel and it could have undermined the structure... it opens up the cause of the collapse to questionable placement and approval of the diesel fired back up generator systems in close proximity to key structures which if failed would lead to a rapid collapse of the entire building. And one considers that suppressing a fire down there was dependent on a non redundant fire suppression system (which may have been inadequate to begin with) it begins to look like some very unwise decisions were made to permit this installation.
However, data about what happened down there is conveniently non existent. We have no reports that everything was hunky dory or that there was some fire. No reports tells us nothing. There was very thick black filmed coming from these floors... What was the origin of this smoke? We do know that diesel smoke can be very black... And perhaps other cooling oils from the Con Ed equipment of the 7WTC sub station.
Since a collapse of the transfers would very likely produce the visuals we saw of the actual collapse... in my mind I think this deserves more study and I find it as or more compelling that the failure of column 79 above those transfers.
Please, if you have details about the fuel recovery provide them.