First of all, it is better to import your seed phrase to the same wallet. Secondly, I will not recommend you exodus wallet because it is close source. Thirdly, I will not recommend you atomic wallet because the wallet do not support nested segwit and native segwit addresses, and also it has only one address, although, it generated BIP39 seed phrase which can be used with some tools to generate the nested segwit and native segwit if need be.
BTC:
Atomic Wallet shows one key pair
Exodus shows two key paris, one of which is identical to the one from Atomic indeed, but the other one is different
So far you see one of the key pair identical, that means it worked for btc. I hate atomic also because it do not generate more than one address, but if you input the atomic wallet seed phrase on iamcoleman tool, it will generate as many as possible addresses for you, the second key pair will be the second address on the iancoleman too while many more addresses are also generated.
ETC:
Both wallets show one key pair each, but different ones
What I wonder about the one in Exodus: It shows a column "Path" with value "m/0/0". I thought the path always has the format "m/44'/0'/0'/0/0"?
I think you can move this to altcoin discussion.
Why doesn't it work? Why are the keys not identical? If I wanted to switch from Atomic to Exodus with some active currencies, it would not work like this. Is any of my expectations wrong?
It worked for Bitcoin while though I will not recommend using atomic and exodus wallets. For altcoin, move it to altcoin discussion.