Everything boils down to personal preference, and a wedding is a once in a lifetime thing. If you like mirror-like luster, go for the Hanadamas. It's not value for money or considered "real" pearls by many connoisseurs including those on this board, but it is pretty. At least for the first ten years or so. Freshadamas are high luster but they do not look like ball bearings. The shine comes from within, and they have an iridiscent quality we usually name orient here, though it's not an industry certified term. And yes, they most certainly come with a rose overtone but it's not a strong pink color like the one shown on AP.
To be honest, the AP picture looks too pink. Akoyas are often "pinked" so I'm not surprised, but that picture is way exaggerated. Rose is an overtone, not a body color. You might as well get pink Freshadamas if you want pink pearls - at least those occur naturally. Color is not a grading factor for Hanadama. It's not on the certificate as a grading criteria. It's complete rubbish about the "collection" quality. If it is lab certified to be Hanadama, that is Hanadama. There is nothing better than Hanadama by definition even if the nacre thickness varies on the certificate. I dare anyone to look at a pearl visually and guess the nacre thickness. High quality pearls are most abundant in the smaller sizes anyways. 0.5 mm refers to radial nacre thickness, not diameter. The lab does not certify anything less than that 0.4 mm radial as far as I know, so anything anyone tells you to the contrary is false. For a pearl to have a 0.4 mm nacre thickness overall, it is only 0.2 mm radial and that is not Hanadama quality. In pearls that are not certified, noone can tell you about the nacre thickness, so I don't quite know what AP is on about. If they have a measurement I want to see it on paper. I don't know what the split pearl adds - it merely shows the nacre thickness for the pearl that is split, and seriously, if you can't trust the lab cert you can't trust anything. Relatively speaking, a 1 mm nacre thickness all round is quite thick for an Akoya especially for the small sizes, not so much for the bigger sizes but that's as good as it gets.
I would not give my money to someone who misrepresents their product. Period. Value for money, Freshadamas are as good as it gets. For the money you're plonking on the Hanadamas you can get a whole set of even 8-9 mm Freshadamas, or just a 9-10 mm strand (well, it's out of stock, just for comparison's sake) with money to spare for a platinum clasp. But if you prefer the transient metallic luster, go for the Akoyas, but be prepared to fork out another sum of money for an upgrade by the time you want to pass it down. A 6.5-7 mm strand is an everyday size (I find even 7-8 mm small for everyday wear once I got into pearls), it'd be a pity to buy it and keep it away for fear of wearing it down. None of the reputable vendors use "cheap" clasps, so to speak. You can specify the clasp you want. They may not have platinum, but at what, $27 a gram it may be just half the price of platinum, but it's not cheap per se. I prefer platinum myself, but I am not as fussy about clasps as I am about rings as I don't touch it all the time.
That reminds me ... maybe I should retake my Freshadama strand in a coiled setup. Somebody stop me ...
