The Orange Order has longstanding links with the UDA and the UDA/UDP/UPRG is, of course, the political wing of the UFF terrorist organization.
The Orange Order may be "distancing" itself from the terrorists officially - but it has plenty of terrorist supporters in its ranks.
It's a big organisation - thus it is too mainstream to be heavily infiltrated by loyalists.
But, I will admit there are some members that are involved in terrorism.