DOGs will likely drop below $0.002. It has a massive, unlocked supply. Plus, the Dev used additional 8% of the supply for marketing and liquidity.
Users getting tokens from airdrop will barely hold if they see the price above $0.001 because that should be enough profit for them without doing much work, all they had to do was invite others and do daily check-ins and that's it. If someone is getting $100 for doing that for a month or so, I don't think it's a bad deal at all. However, some people might not sell all their tokens at once because there is a lot of hype about the project right now and it might gain a higher price later on.
What I anticipate is that most users will dump their tokens after the listing, the price will pump a little bit, when then it might start dropping because there will barely be a lot of people willing to buy at that time since they would expect a dump after such a large sell-off which is a normal thing for any meme coin.