I don't think it will ever become fully obsolete. So far there are still people with a lot of money invested in DOGE, hence there is incentive to keep it alive in some way. Apart from that we also have seen other cryptocurrencies that were supposed to be dead to pump out of a sudden after years of no action at all. I would say that DOGE is similar to that and would pump from time to time.
Technology-wise, Dogecoin is obsolete. The code hasn't been updated for years now (AFAIK). Developers abandoned the project due to loss of interest. Even DOGE's creators said it was only created as a joke (not a serious cryptocurrency for day to day use). There are far better cryptocurrencies out there with active development, innovation, and a vibrant community backing them every step of the way.
Consider how WAVES is one of the most underrated coins of the year. It's a smart contract platform with a built-in DEX, but the cryptocurrency is way below the "triple digits". If ETH went to the thousands, while BNB went to the hundreds, then WAVES can easily go north of $100 in the long term. All it needs is a strong marketing/promotion strategy in order to attract investors and traders into it. At least, the underlying blockchain networks of the aforementioned cryptocurrencies are healthy. As long as decentralization is prioritized, nothing else matters. Just my thoughts