nothing, ignore. some people prefer higher variant because its high variant, no other reason actually.
actual difference
- BMS offers, quota exhausted quickly so nothing much useful
- timesprime offers, over no longer exist (once upon a time)
But again, Infinite is better than Signature and Signature better than Platinum, and Platinum better than Classic. Higher version always better because those are better cards compare to lower version card, and may require high fee.