Order/Hogosha relations don't exist in anything but technicalities - and even then, they're dubious.
There aren't any ties, that was essentially added to make life easy on artifact smugglers given the Order/Corsair ties, along with being a remnant of the rather silly "Corsair/Outcast" alliance base that never made any sense. There are no benefits for the Order to have relations with the Hogosha, and I can't see any troubles with not having a relationship. Certainly, the "saviours of humanity" having an alliance with a xenophobic cartel distributing artifacts (that last one never made sense, why exactly does the Order support the artifact trade?) wouldn't be beneficial to said "saviours'" public nose.
