They are the exact same model or is one a 13 Pro Max and one a 13 Pro? What wireless charger are you using? Is this a new charging plate or stand? Have you tried to turn the phone in landscape mode to charge it?
I ask because many traditional charging stands don't work well with iPhone 13 for a couple reasons.
- The charger in the phone was moved to the exact center of the phone when iPhone 12 brought MagSafe Charging to iPhone. This makes many traditional wireless chargers not have their charging coil in the right location for the charging system in your phone.
- The camera bump in the new 13 Pro phones make it harder for the phone to lie flat on whatever charger you're using, making charging either unreliable or difficult at best.
If you want to avoid any issues with using wireless chargers consider going MagSafe. I have, over the last 4 weeks, replaced every wireless charger I had with MagSafe Chargers for home and office. They're magic. They just work.