Recut characters have limited appeal. There are always going to be a small number of collectors of any denomination that collect almost to the individual die level, but for the majority of collectors, the variety interest tends to be limited to overdates (not just recut with the same digit), legend error correction, or substantive design differences. I don't think I'm sticking my neck out in saying that the majority of collectors of any denomination are simply looking to complete a date run.
A good indicator of popularity is whether a reference volume has been written documenting the varieties, because until one appears, most people will ignore subtle differences. Once it is written down, everyone wants to find the variety or thinks they have it. Tail wagging the dog, or maybe the other way round.