Here is a test wallet, I sent some BTC , then sent it to a Doge address, it went through just like how OP explained, there is 0 relationship between the address Atomic wallet sends btc to and the seed, I tried all different combination like using Doge's PK to magically generate a BTC address, nothing worked, the address they send to is pretty strange
I think I have worked out what they have done... and, if you can get the private key for the DOGE address, I think the BTC
could be recoverable!
...
Doge Address which BTC was sent to:
D95aC8TEQrbCRWqFVhYHzSj17uB7s8yd74
...
BTC addresss Atomic (magically) sent to:
14wUesWb7SgutWeem7YjSgZQEmSpUWKPm1
If we take the DOGE address and
Base58Check Decode it:
1e2b35ec3cee8bf29b2e52c29add024953c31294eeb5dc265f
and if we take the "mystery" BTC address and do the same:
002b35ec3cee8bf29b2e52c29add024953c31294ee28c75ad0
Essentially, Atomic seems to have simply converted the DOGE address from Base58Check to HEX, then stripped off the DOGE "
address prefix" (0x1e == "D") and the "checksum bytes", added the BTC address prefix (0x00 == "1") and then recalculated and appended the checksum and then converted from HEX back to Base58Check to end up with a BTC address...

Basically, if you can get the HEX Doge PK, you can get to the BTC address:
(Using Mikeywith's example)
DOGE PK:
QRw8xX9VAw67f9db8hqbN4EAWrj3Cwu1jZHDgoR6hg2nKBaKc7gD
--> HEX PK (using
"wallet details" tab on DOGE paperwallet generator (TIP: click "skip"

):
6308E894B22395F94EF2E935762ADB9A4D5DCAAB672FAEDD51908FD24C6E2902
https://i.imgur.com/fmPDR5U.png--> BTC (compressed) addy (using
bitaddress.org):
14wUesWb7SgutWeem7YjSgZQEmSpUWKPm1
https://i.imgur.com/YmXyYUc.pngSo, if OP can get the DOGE website to extract the DOGE private key, they'll be able to recover the full amount of BTC
Thx for this, don't understand a thing about it, lol, but I have forwarded this to the doges add site. If they would be able to help.