Why does powering an airplane need to make sense with regards to EROEI? I'm not trying to produce energy, I'm trying to move a plane.
The value of each unit of energy is NOT equal. Society values a unit of electricity far more than that same amount of energy in the form of coal. There's a reason for this, we have more uses for electricity than we do coal.
Jet fuel is a very valuable product. The goal of a jet fuel producer (and any producer for that matter) is to take resources, convert them into a product, and sell them for more than the cost of the inputs.
If a unit of natural gas sells for a dollar, a unit of electricity sells for a dollar, and a unit of jet fuel sells for $2, it makes perfect sense to convert gas and electricity into jet fuel, even if you lose half of your energy in the process.
Producing gasoline from crude oil has a very poor EROEI but we do it anyway because gasoline is more useful than crude oil.
If we can convert abundant natural gas into less abundant jet fuel, it will make sense to do so.
Would we have had more energy if we had used the natural gas for something else? Maybe.
Does anyone care? Almost no one.
Again, the goal of society is not to maximize energy production. It is to produce desirable goods and services. Energy is just one of several important inputs to consider when decided whether or not to produce a product.