Precursor Relic sites - Faction Rigs

Have been thinking about it some more. Making these relic drops part of T2 ships production is apparently a bad idea. There is a bunch of T2 Triglavian ships coming out in less than a week.

So what other valuable enough drops could there be in Precursor Relic sites? What do common Relic sites drop? Rigs! Faction rigs!

They shouldn’t be stronger than T2 rigs, they should just have different drawback. Or slightly better bonus but bigger drawback too. Or one rig would use up all 400 calibration.