Welcome to Numista. Just my humble opinion.
First thing to do is try and verify that they in fact genuine and .901 and .875 gold repectively and not fakes. Weigh them, magnet test, measure diameter, etc or take it to a coin shop for help in determining those issues. In short yes, any alteration potentially diminishes value. I believe the first one is Mexican although the mintmark ( should be Mo ) bothers me for some reason because I cant see it so well with the photo provided The second one I believe to be from Chile (So). Slabbing and grading coins can get pricey and is a judgement call and you may never get that investment back.
https://en.numista.com/catalogue/pieces15008.html https://en.numista.com/catalogue/pieces35196.html .Personallly, I would only pay a small premium above melt value if genuine. Others may offer more but that is their perogative, Good luck.