I don't think any of the "It's not a mai tai" people are saying this is a bad drink; they're just saying it shouldn't be classified as just Mai Tai (even if qualified by a personal recipe).
As I wouldn't call a Sazerac an "Old Fashioned," I wouldn't call this a Mai Tai of any sort personally, but if you must, Pineapple Mai Tai or maybe a Deconstructed Mai Tai? The added ingredients mimic some of the standard ingredients. I think it is divergent enough to have it's own name or a more descriptive Mai Tai variant name.

When I clicked "Caribbean Aged Rum," it showed me Don Q 7-year. Does it show you Appleton?

Isn't Malibu Coconut and not Pineapple? Or do they make a pineapple now?

I've always heard this called Wray and Ting in the tiki/rum community. (though Ting Wray is pretty cute)