Jerry's question makes me wonder if there are any compiled statistics on the frequency, intensity, and variety of tornadoes associated with LP, Classic, HP, and "hybrid" respectively.
None that I can recall. But in general, classic supercells are the most prolific producers of strong and violent tornadoes. Significant tornadoes with true LP supercells are very rare.
How does the likelier event of a rain-wrapped tornado with an HP effect the tornado's shape (width etc.), duration (shorter?), and strength?
There's lots of speculation, but I don't know of any research studies on these topics.
Don't get too caught up in supercell type. Supercells fill a spectrum and don't fit into nice neat boxes. Also, supercells continually evolve and its rather common for LP supercells to transition to Classic and then HP (i.e., they get messier over time).
Have long-tracked tornadoes generally been from classic Supercells?
Yes. That's a safe assumption. Most long track tornado families are produced by classic supercells.
What are the exceptions and why?
HP supercells can produce strong and violent tornadoes, too. But they generally aren't long track family events. Speculation is that there is too much interference from precip and other factors.
Does the amount of cycling vary by supercell type as well?
Yes. See above.
Do you make decisions based on the likelihood of a storm getting its act back together with a new circulation after occlusion depending on the supercell type?
Yes. Problem is tornadic supercells
rarely "get their act back together" (e.g., after they are undercut by cold outflow, new cell's can't form due to increasing convective inhibition, etc.).
Have you noticed that certain supercell types tend to more often have satellite tornados than others?
Satellite tornadoes are rare. I've seen more with classic supercells than other types, but that might be because significant tornadoes produced by LP supercells are very rare, while HP supercell tornadoes are often rain-wrapped and not easily observable..
What about gustanadoes, land-spouts, straight-line winds etc? Cyclonic vs. anti-cyclonic?
What about them?
Maybe most of these things have no relation whatsoever, but if they do, it would be great to know.
What relationships are you asking about?