My searches on what Ordinals really is talks about, Ordinals being some Bitcoin NFT,
That is why Ordinals can be categorized as a scam because it is not an NFT. To be a "token", first Bitcoin has to be a token creation platform (which it isn't) and it has to contain actual script/smart contract that is executed inside and enforced by the Bitcoin protocol (which it isn't).
Ordinals is just arbitrary data that is being injected into the bitcoin blockchain by exploiting a flaw in the SegWit rules consensus rules.
where Satoshi Nakamoto assigned some signatures to the sats that could serve as an NFT (Non Fungible Tokens).
Satoshi didn't do that. Someone else created this whole fakery!
Should a currency of this nature really have that?
Satoshi Nakamoto has already answered that (just replace DNS with the Ordinals crap and it's pretty much the same thing):
Piling every proof-of-work quorum system in the world into one dataset doesn't scale.
Bitcoin and BitDNS can be used separately. Users shouldn't have to download all of both to use one or the other. BitDNS users may not want to download everything the next several unrelated networks decide to pile in either.
The networks need to have separate fates. BitDNS users might be completely liberal about adding any large data features since relatively few domain registrars are needed, while Bitcoin users might get increasingly tyrannical about limiting the size of the chain so it's easy for lots of users and small devices.
While it talked about having certain signatures attached to the sats, isn’t this applicable to every other sats out there, to serve as a unique unit of there own with them signatures?
It kinda is! Considering how Ordinals work (a completely separate and centralized place where people put a value on random UTXOs) you can decide to place a value on any UTXO the same way! and call it a "unique unit".