I can do Relic for Templar and in the portals fine, though I generally leave it for whoever wants it. If I get teleported, I wait a second to see if anyone else grabs, if not, I do right away. Basically, just long enough to call which side, then grab. More than enough time for anyone wanting to grab the thing. I'm not comfortable being the swordbearer in the Crota fight though. But, I have a Galla, so I get off with shield stripping duty.