Transaction fees: no, again anything dogecoin can do can be built on top of bitcoin. You can build sidechains, treechains or indeed off-chain payment systems on top of bitcoin that are cheaper than Dogecoin or even free.

Dogecoin is not cheaper because of some innovation, it's cheaper because there are fewer mining revenues and thus it's less secure. That's not a pure benefit, it's a cost-benefit, bitcoin could be set to have 0 transaction fees tomorrow if it was wanted. Instead a dynamic pricing system is in development, a free market for transaction fees, which is the best and most elegant system of pricing conceived. Dogecoin doesn't have that innovation.

As for long-term equitable mining, that's not really an innovation, is it? It's just another choice. Today Dogecoin's inflation is 5% or so, for bitcoin it's 10% or so. A larger percentage of bitcoins are newly distributed than dogecoin, which I assume is what you consider more equitable. And this will remain true for years.

And in the long-term? In the long term they want to have a fixed supply forever, but if you have 100 coins and you add 5 per year, in 50 years that's less than 0.4% yearly inflation, i.e. next to nothing. A few decades later it's puny, it might as well not be there. In the long term their inflation is approaching that of bitcoin's long-term inflation: 0%. It's not all that much different.

To say it's more equitable because long-term dogecoin has slightly higher inflation than bitcoin is like saying Kenyan shilling are more equitable than dollars, and dollars more equitable than dogecoins.

If those are the two best examples of innovation of the 1st or 2nd most popular cryptocurrency after bitcoin, I think that's very telling on the lack of long-term value for anything but bitcoin.

> Transaction fees: no, again anything dogecoin can do can be built on top of bitcoin. You can build sidechains, treechains or indeed off-chain payment systems on top of bitcoin that are cheaper than Dogecoin or even free.

In theory, sure. But defaults are important, simplicity is important.

> To say it's more equitable because long-term dogecoin has slightly higher inflation than bitcoin is like saying Kenyan shilling are more equitable than dollars, and dollars more equitable than dogecoins.

Both those things are true. Look at the Gini coefficient for wealth held in each currency. (There are downsides to high inflation, but not at the USD level).