Since you've refrained from using conditioners or substances, it's possible that the leather has lost some of its natural oils, leading to the peeling you're experiencing. In this case, using a high-quality leather conditioner could help replenish the oils and restore moisture to the leather, potentially preventing further peeling.
If the issue persists or worsens despite your efforts, it might be worth contacting the manufacturer or the retailer again to discuss possible warranty coverage or further troubleshooting steps.