Ah, definitely a scientist who likes measurements! Welcome to the thread, can't rep you again but good approach to measure the angles on the alien wreck!
I don't have a permit for Shinrahta Dezra either, & I'm busy getting engineer upgrades before the aliens start to interdict me (the npc pirates are annoying enough without any additional exasperation!), but if nobody else has done so when I get back from Maia I'll recheck the array in Lutyens xx-xxx.
The only way I know to check pointing direction is to select a system in the Galmap then go back to game & see if that fits with the antenna direction, then iterate as required with a few different systems; not very accurate cos of the antenna size (easier with a UA!), but may be possible to check the visual alignment using the edge of the antenna.
I suspect the antenna is monitoring (or even transmitting to if you want to really get into conspiracy theories!) the alien sector & if there is a second antenna then it would be relaying the information on to a monitoring/decoding HQ, so it might help to understand the storyline better if we could determine where that HQ is located. I doubt if the two antennae together would have a common alignment ( but worth checking).
If it was transmitting or listening, couldn't you position yourself on the receiving end and target it and see if it makes any super secret coded noise?