It may not necessarily work, because even if it uses the same ISO standard and frequency it really depends on how the door reads the storage.
Here is a reference to an old post from 3 years ago for a similar situation you're facing: https://forum.nfcring.com/topic/76/samsung-shs-2920-does-not-work/16
In short, the door may read the M1 card but not NTAG203 that is used in the ring.