Interesting stuff...I'll add my two cents I suppose...
For one, I agree with Ayla's Tail Spin being non-elemental Magic. In another thread there are some people bumping around the idea that it's Wind-based and that that somehow makes it Lightning Elemental because they think Crono's Slash is a wind-based attack. I don't think any of that's true because Spekkio would have said, like he said with Robo, that her attack could be considered Lightning Elemental, which it's not, which you can tell by using it against certain Lighting absorbing monsters.
Also, I think that Lavos's impact with the earth doesn't have to be that way. It could be, like with many newly born species, that Lavos simply has some kind of protective shell or barrier that protects it from the impact at that stage of it's development. Or, possibly, the "head" of the Lavos Shell is simply not there. It seems like, during the battle, the only thing that's really damages is the "head", and not the shell itself, perhaps this is because the shell is imperveous to attack.
I think that Magic and Innate Magical ability could effect someone's strength and speed in different ways. For instance, Lightning is obviously an energy-based Magic, the same is true with Fire, so you would think those inclined to those Magics would thusly be able to tap into that energy to become faster. This speed could also effect strength and muscle mass production.
Another way to look at it is, perhaps everyone on Chrono world has such strength and speed potential. The characters in Chrono Cross equally gain strength and speed. Cyrus seems both strong and quick (Nirvana Strike as an example of speed).
I don't see the difference between any regular bomb and a bomb that Lucca uses in her Techs. Unless you're theorizing that she creates them Magically rather than physically...I had always believed the latter myself, but I suppose anything's possible.
I also am not quite sure about the part where you say "Physical and non-elemental effects are based on a combination of all elements and are...etc", because, if they were a combination of all the elements, wouldn't that create a Shadow-type effect? I believed that since these effects were not created by either Fire, Water, or Lightning, that they were simply automatically non-elemental. They were just like the others, a wind attack, while still magical in nature, is just not Elemental.
Perhaps non-elemental attacks are more created by the force of the individual. Maybe that's how the people in that thread meant by comparing Tail Spin to Slash. Both Techs use the character's inner magic to create the magical effect. Although Slash becomes Lightning Elemental (or wait, is it Lightning Elemental?) because of Crono's Magical Innateness and Tail Spin does not, both are still inner, chi-like magical attacks.
Now what's up with Crono's Confuse attack not giving the Confuse status ailment? That one always...confused...me...