It has nothing to do with the Republican Party as others have pointed out and hence is coompletely accurate and without bias.
Is this how they call the IRA in Britain? Republican?
ALWAYS remember the media narrative - Republicans / conservatives bad, Democrats / liberals = Gods who have stooped to be among men. I used to see the same kind of thing when the "MSM" would write about the old Soviet Union - they'd use terms like "hardliner", "conservative", "right wing" to describe the hide bound Politburo commies. It's the same as the bass ackwards "Red State / Blue State" thing.
The headline is factually correct. What you're missing is the emotional impact that the media is trying to achieve. That's what you get for being conservatives and living in the real, fact-based world instead of "feeling" your way through life.