I strongly suspect the high-power module is not adequately powered. At least for testing try powering it with a pair of AA alkaline cells (3v) with the battery GND connected to the Arduino GND....RSimple nRF24L01+ Tutorial
I believe there can be problems when a high-power module is to close to another module - the signal is too strong. Try again with a distance of about 3 metres between them.
Nothing is going on, since neither would send anything
You need to be careful here. You can't actually tell whether the problem is with the Tx or the Rx....R
To me, it is pretty clear that there is an issue with sending from the nrf24l01-pa-lna modules...
Can you get another module (preferrably from a different supplier) and see if it works?...R
nrf24l01 <-> nrf24l01-pa-lnaone side sends, the pa-lna receives, but fails to send anything back