They will never do that as long as the colored bikini tops are sold on the mog station.
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i have all the colored bikinis, but they simply don't match with any color you can dye.
i am wearing the white top with a snow white colored bottom. it doesn't really match either, but it is as close as possible.
the lalafell specific problem here is that all the colored bikinis come with a skirt as bottom. when you want to wear panties, you have to go straight to the coeurl-one, because there are no matching tops and bottoms otherwise. but that coerul-one is a bit... uh... i don't like to wear that thing >.>
with this event we will have 3 dyeable bikini bottoms, but not a single matching top.
What about the Hempen Camise? Depending on the form, it can make a good bikini top, and it's dyeable. (and the matching pantalettes may also work to make a set.)
The Faire Joie also seems like a bikini top to me? If you have it or are willing to pay for it.
Also a few other good - if potentially expensive - options for loose-fitting shorts are the Lv50 Artisan's Culottes (for all classes) and the Lv60 Eikon Cloth Culottes of Aiming/Scouting.