Actually I will say it matters even more in a long war. Modern skilled pilots are much more harder to train compared to earlier periods like WW2, in a long conflict, and it takes much longer to train one than building a bomber. You only get so many people who are capable of flying military aircraft that has to be further divy up for transportation, fighter and bomber duties. If you can get one pilot to do a job that requires at least 2, that is already a multiplication of force.
Costs of munitions and construction of weapons becomes increasingly negligible in a long war in comparison to available manpower which is something that takes a fixed time to replace no matter what one does, Germany near the end of WW2 was dead broke but it still churn out weapons like crazy but they lack the people to use them.
What you've written doesn't pass muster.
Think about it.
Since the cost of pilots is so much lower than the cost of the aircraft, you always size your pilot force to ensure planes can be fully utilised.
It costs in the ballpack of $1M to train a pilot, but a stealth fighter costs $100M+
A stealth bomber has 2 pilots, but costs in excess of $550M+
This is a simplified analysis, but it make the point that aircraft are far more expensive than the pilots.
So if you actually expect a long-duration high-intensity war, it always makes sense to train up enough pilots beforehand.
I recall a ratio of 1.3 pilots per fighter jet in the USAF some while back.
Your WW2 Germany example is not relevant to this analysis.