Only arrows with names fly straight

Does anyone know how to make only named arrows fly without an arc in Minecraft? I have the command: execute as @e[type=arrow] run data merge @s {NoGravity:1b} working great, but I'm trying to make only certain arrows shoot this way.

I have tried naming my arrows "bullets" and then trying something like: execute as @e[type=arrow,name=bullets] run data merge @s {NoGravity:1b}, but this does not work. Neither does using the NBT tags for the arrow (as far as I can tell, I might be doing it wrong).

Is there a way to make only arrows named "bullets" fly straight?

There are two NBT tags that transfer from arrows (the item) to arrows (the entity) that I know of. Those are CustomPotionColor and CustomPotionEffects.

Given the item tipped_arrow{CustomPotionColor:nb}, once fired it becomes @e[type=arrow,nbt={Color:nb}

Given the item tipped_arrow{CustomPotionEffects:[{Id:nb,Amplifier:xb,Duration:999999,ShowParticles:0b}]}, once fired it becomes @e[type=arrow,nbt={CustomPotionEffects:[{Id:nb,Amplifier:xb}]}]