I know the south tower had a large tilt.
Would a tilt even show a jolt? Could a jolt go unnoticed on film and still be there?
The presence of tilt will "smear" a jolt, possibly making it invisible. In the case of the WTC Towers we don't expect much of one.
Your second question is more interesting... sensitivity of your instruments and your method is always a concern.
What about an experiment to test how much steel sags under certain temps, certain durations, and under certain weight stress?
The mechanical properties of steel in response to temperature are extremely well documented. There are two effects you're interested in, one being "sag" caused by reduction in elastic modulus ("strength") while the steel is under load; the other is "creep" which is a different and complementary phenomenon.
The various reports on the WTC collapses use, and are consistent with, this hundreds-of-years-old body of research. Read some of them at wtc.nist.gov. Others are in journals, you'll need to go to the library for them.