windows desktop eth wallets

ETH seems a little odd to me vs. other crypto currencies in that there is no official wallet for it. Consequently, I've been trying to figure out how to generate a wallet and use it with a ms windows desktop wallet software. This has been pretty confusing.

The only way I've found to generate an eth wallet is with metamask in the browser. I took that seed phrase and imported into coinomi but the address in coinomi when I click receive doesn't match the public address in metamask. This seems unexpected to me.

What am I doing wrong here? Getting a little frustrated with a process that seems like it should be pretty straight forward.

TIA

EDIT: OK. I think maybe I understand what is happening here. Here is why this makes no sense.

If I am using the monero official wallet. And I go to another computer and use that same wallet software to import my seed phrase. I do NOT have two different receiving/public addresses. They are the same. It is the SAME wallet.

When I import my metamask wallet seed into coinomi it is creating another wallet. It is NOT the SAME wallet as the metamask wallet even though I am using the same seed. This is confusing to me and kind of counter-intuitive. With the seed, you tend to think it should be the same wallet. But it isn't. I'm not even sure it would see the same transactions on the blockchain or if they are entirely separate, in which case why would you even use the seed elsewhere other than metamask.

Maybe I'm not getting it still, but this seems to be what is going on here.