For every item that has multiple color options, you have a "native" color to your island, and that's the only color that will be sold at Nook's Cranny.
On top of that, you also have a selection of items you can redeem Nook Miles for at the machine in Resident Services, and these items are also locked to one color per island.
The Nook Miles rewards are the items that seem to be affected by airport color?
"After many resets and playing the starting quest about 8 times (up until the upgraded resident services so I could check the streetlamp color), I realized I was only getting green streetlamps, and after some more resets I noticed that also happened with other furniture in the Nook Stop as well, such as the teacup ride?
After digging through some people's Nook Stop images, I figured the furniture color isn't entirely random, they're tied in a group, and the streetlamp color is locked with the airport color, and that's why it was impossible for me to get black streetlamps AND a blue airport."!