Memecoin stigma will stick with it, but the sad part of the current situation would be memecoin becoming something bad because of others and not because of doge itself. The other shitcoins in the memecoin world caused memes to have this stigma and right now everyone considers memecoins equals to shitcoins, all of those fake stuff just to get some money from investors and make the devs rich caused this part of crypto world be considered terrible and they weren't wrong neither.
Dogecoin was nice, even before Elon Musk we could say doge was a nice coin and had some fun wit hit, I still remember all the sponsorships and such they did, even helped with many natural disasters, so we can say Doge wasn't the issue but became part of a bad group.
people speculate everywhere and that's normal, doge just happen to be a tool that can allow for speculation because of its volatility. I think people will understand the notion instantly.
the fact that doge being utilized heavily for payments, means people look at doge more than just meme coin, though the stigma sticks as you said. but it's good that a meme coin actually has a use case, unlike other that's just a playground for whales to manipulate, doge happen to be released before meme coin craze and the decentralization of supply reflected by the holder amount is more fair than ever. which is great.
if anything, i'd want doge to be the biggest meme coin and will hold this position for another decade, the other memes just not worth it.