I agree with there being a sense that it can be difficult to seamlessly transition from one activity to the other.
If at some point they implement a strike playlist that is tailored for larger 4+ groups (up to 6) and possibly allow up to six people to match-make for Crucible, then I think those problems would be resolved.
If they made it so that if 6 people match-made in the 'quickplay' arena, and just had the extra two be put into the enemy team I would be fine.
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All good options to remedy that. See what I'm saying? There's plenty of options and additions that could be made to creating a fire team or matchmaking yet we still have limitations that can be easily fixed.