And you'll still only be able to sell the print for tens of dollars, while the original is worth millions.
People attach value to authenticity and originals and tradition, however they define that.
In the event artificial diamonds are genuinely indistinguishable from natural ones they will all, natural and artificial, become worthless aside from practical applications.
Brands will make themselves known as the more expensive option. People don’t give cubic zirconia engagement rings as is because they’ll look cheap if they’re honest and be outed as a cheap fraud if it’s found out that it’s not a diamond when they pretended it was.
De Beers will find a way to make aspects of the jewellery other than the gem identifiably theirs. Then when you’re caught pretending a $100 lab diamond ring is a $6,000 natural diamond De fBeers ring you’ll be in just as much trouble as if you’ve given them a cubic zirconia.
In the west we're no longer living in a time where most people get married and then start their lives together. People often cohabit for years before marriage, and with more women working and earning as well the "hey I've got money and I'm dedicating a chunk to you!" signal isn't so much of a thing.
That (some) people might attach (some) value to those attributes does not guarantee that the monetary value will be preserved. Pre-20th century antique "brown" furniture is a notorious example - where market value has collapsed in the last few decades as fashion has shifted.
I predict people will turn to other gemstones, or will stick to "natural" diamonds and maybe even get them certified and stuff, producing another artificial market to inflate their value.
The short version is that it's very tough to sell diamonds. You're much more likely to get fleeced or get arrested than you are to get a fair deal.
I mean, having something valuable as a safety net and then carrying it around day and night where it can get damaged or stolen doesn't really sound like the smartest thing.