I guess you made a mistake here as it counters your story; FX has less resolution in your example.
Ah, but that's exactly the point that many miss and/or misunderstand when evaluating equivalent final-sized iimages. What counts is the resolution on the final image (line pairs or widths per picture height) not the resolution on the sensor (line pairs per mm).
Lenstip.com says that a FF setup such as the above will result in MTF50 at 44 lp/mm on the sensor. That means 2112 lw/ph on the final image because:
Final Image Spatial Resolution = 44 lp/mm x 24 mm/ph x 2 lw/lp = 2112 lw/ph
That's the figure that counts. There is no economical, Equivalent DX setup that will achieve 2112 lw/ph in large part because of the smaller format's smaller sensor. To do it it would have to show MTF50 at 66 lp/mm on the sensor. Never seen it. If there is such a DX setup let me know and I will run out and buy it.
There are many gray areas when comparing IQ from different formats and technologies. Linear spatial resolution is not one of them. A larger format will typically easily outperform a smaller one (as far as FF vs DX and mFT are concerned easily=cheaply). That's one of the reasons why Ansel Adams shot 4x5 and 8x10 - and so would I if I only could reasonably justify it for my amateurish landscape uses