Would you consider giving an amethyst sterling silver or eternity ring as an engagement ring?

I have seen at least only one question on this website in which someone had asked a similar question about this, but I do remember some people on here saying that you can give those two kind of rings as engagement rings. Yes, I know about the purpose of an eternity ring, but I just need reassurance about what I'm asking here. It would be just absolutely terrible to get the wrong ring for the wrong reason. >_<

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Sleek 037CTW Genuine Amethyst Diamond Silver Ring    US $.01

Eternal 062CTW Genuine Amethyst Diamond Silver Ring    US $.01

Charming AMETHYST Purple LADYS RING jewelry size789    US $.01

10k Pear Shape AMETHYST 10kt Solid GOLD RING size 725    US $.01

420cts Green AMETHYST 10k GOLD RING w Diamonds sz 7    US $.01

2ct Amethyst 925 Sterling Silver Filigree Ring 18g    US $.01