I think the difference is that diamonds are inherently a luxury good.
I don't think that Michelin-starred restaurants or families who buy organic grass-fed beef are going to switch to synthetic meat anytime soon.
But, unlike diamonds, the vast majority of the meat market is cheap, price sensitive, and commodified. I think a two dollar synthetic meat burger is a much easier sell than a twenty thousand dollar synthetic diamond.
A huge amount of change is possible even if synthetic meat gets zero traction at the premium end of the market.