Side note, PHD in non STEM field is actually a rather weak credential. Especially those econ PHD working for think tanks, non profits, etc. If they were any good they'd be working on Wall Street or corporate, not the SIPRI. The ones at SIPRI are there because they failed to get a real six figure salaried job doing real work. This may sound conceited, but it's the truth.
I'm going to leave aside whether think-tank PhDs are any good at their job.
But if you look at the mechanics of actually calculating military PPP, you don't actually need a PhD.
1. Make a list of Chinese military inputs (labour type / equipment type / fuel etc)
2. Count how much they use.
3. Assign a cost to each item. You may have to estimate the cost.
4. Then compare against the equivalent US list of inputs and costs
5. Adjust the Chinese price to reflect how comparable it is to the US equivalent, which requires judgement, not a specific formula.
So I don't see any fancy economic formulae or calculations.
Just gruntwork in gathering quantities and costs, then making judgements on equivalency.
This requires a deep knowledge of the structure and composition of both the US and Chinese military.
How many PhD students have either of these topics as their main subject?
Plus it has been noted that there is a huge dearth of China experts in the US.
So it's not surprising everyone is still using the exchange rate to compare the military.
For example, Erickson at the US Naval War College is probably the best informed on Chinese naval shipbuilding.
Yet he still thought (thinks?) that China would struggle financially to sustain a Navy only half the size of the US.