It would. Liquid fuels would still have an enormous energy storage to weight ratio advantage, but electric aircraft might become good enough to be practically useful.
I'd imagine there could be military applications too, once the energy density is high enough to be useful. If you have, say, a bunch of tanks that can run off of diesel or batteries, then you can recharge them opportunistically whenever power is available (i.e. if you're defending a city that still has functioning utilities) and save the diesel for when you have to move long distances. Basically, it makes the fuel resupply logistics more flexible, and it reduces costs and climate impact in peacetime if exercises are conducted mainly on batteries.
Reliable utility electricity in a war zone seems unlikely. Though big 'ol power plants make pretty easy and tempting targets (especially if you know your opponent relies on it to drive their vehicles).
This would be a great use case for space-based microwave solar though (if it ever gets off the ground).
Odessa in Ukraine doesn't have gasoline or diesel. They do have electricity though and people with EVs are driving around just fine - even an electric Taxi.
Gasoline distribution points (gas stations) tend to also blow up in a pretty ball of fire when attacked.
An EV can be charged from any socket with working power.
Automated Transport Gliders: Have a blended Wing with Containers, a few of them Batterys, they circle up, fly toward their destination, Land, Replace with Recharged and Go back. Slow, but nearly no downtime and thus interesting.
I'd imagine there could be military applications too, once the energy density is high enough to be useful. If you have, say, a bunch of tanks that can run off of diesel or batteries, then you can recharge them opportunistically whenever power is available (i.e. if you're defending a city that still has functioning utilities) and save the diesel for when you have to move long distances. Basically, it makes the fuel resupply logistics more flexible, and it reduces costs and climate impact in peacetime if exercises are conducted mainly on batteries.