In my opinion, yes. The higher the platform of the shoe, the easier it is to tip the shoe towards the toe, to balance on the front corner of the platform, which is where I place my weight for almost all the types of heels choreo that I find worth doing (ノ◕ヮ◕)ノ
As unstable and difficult as this technique sounds, I feel like it's even more dangerous and difficult if I'm trying to do it in heels with too short of a platform to find the balance point. I wouldn't attempt it in anything shorter than 8 inches but I have limited ankle range. I actually started years ago with 6 inches, couldn't figure out the balance point technique that I loved, didn't realize platform height played a role, got rid of the shoes, gave up on heels, then years later I tried on some 8 inch heels and found the balance point immediately.
So in short, yeah, really high platforms make my favorite heels choreo possible.
Side note: the smaller feet you have, the shorter you can go in the platform and still achieve a toe balance--because physics & ratios: basically the rise (difference in height from where the ball of the foot rests to where the heel of the foot rests in the shoe) in smaller sizes is a steeper angle. According to pleaser's website, the rise is roughly the same height difference (around 10 cm but depends on the model) in a size 5 shoe and a size 10 shoe of the same model. Obviously, a difference in height of 10 cm from toe to heel is going to result in a steeper angle on a smaller sized shoe than on a longer shoe because the same height difference is now spread over a longer length. A steeper angled foot is already balanced closer to the toe of the shoe, and angled closer to the balance point.
Can the weight of the shoe play a role? I think maybe if you're upside down in cocoon trying to grab a foot, but I don't think I'd base my heel height off it. and then maybe weight could play a role in floppy ankle techniques? I feel like heel weight (or any added mass) can affect the frequency of your spins and fancy leg stylizations...just watch nadia shariff do any fast moving aerial work on spin in heels and decide :D
Can't comment on the shine, my shiny ones are new.
This is prob way more info than you needed. I couldn't help myself. ≧☉_☉≦