I want to reply on the subject of red for storm. I somewhat disagree... not so much in that red isn't the greatest support for a full combo win (I agree UB is a better base), but that you can't build a more aggressive "value" version of the deck and still do well.
Empty the Warrens isn't bad at all. Sequence a few spells and you can easily get 6-8 goblins for 4 mana. That is a lot of value. Hell, power max lists were running that card until a few years ago with zero storm support.
Guttersnipe in a heavy spells list is a wrecking ball, but it doesn't work nearly as well in most modern creature heavy lists because you are always facing superior creatures making him useless for attacking most of the time. I've been playing around with some of these builds quite a bit in my retro list and I have a new found appreciation for Guttersnipe in particular. Coupled with burn and counters, you can do a great deal of damage with it. You can also switch from aggressive to control fairly easily in these builds too by where you point burn and how you use the few creatures you have. These decks are deviating from storm quite a bit at that point, but there's still overlap with the archetype. And throwing away cards like that feels a bit like tossing the baby out with the bathwater to me. The spells matter archetype is one of the best things to come out of modern magic IMO (speaking strictly from a cube perspective).
I guess my question is, does the storm deck need to win in one massive turn to be a successful storm deck? Or can it do a variety of things and maybe at the end win with a 4 storm count
Tendrils of Agony? What's wrong with that? Isn't that more interactive anyway since a lot probably happened on both sides to make an 8 life drain lethal? Not even sure we fully disagree either. I think you are arguing this idea of overlapping mechanics, so I'm a bit surprised that the reanimator overlap seems good to you but the spells matter overlap seems bad (or am I misunderstanding?) If anything, the latter feels more natural to me since storm decks inevitably pack a billion spells (might as well have a dual purpose). Then again, I am not a good storm drafter so could be way off base here.