Running ahead has always annoyed me some but last night it cost me all my progress on the 'no die' bounties. A player ran ahead and died which caused us all to die. That is really annoying.
Personal opinion here, but I frequently end up with teammates who don't play the way I do. I try really hard to avoid complaining about them, because they're probably complaining about something I do.
I love speed running, and I do it on almost every strike, especially in the Vanguard playlists. Almost every time, I end up getting a disproportionate number of kills, [url=https://www.bungie.net/en/Legend/PGCR?instanceId=3100488289&characterId=2305843009307396927]for example this game[/url]. When players try to keep up with me, the numbers even out a lot more, but even so, I usually end up with the most kills. I could easily say I'm annoyed by players that don't get as many kills or run as fast as me, but that wouldn't be very fair to their preferred playstyle.
I understand your frustration, but on the bounties that require you to "get X amount of Y without dying," it's really not very safe to do it in matchmade strike playlists. I sure don't, and I don't think anyone should. If you want (or need) to do it in a strike (for example, Complete Any Strike Without Dying), do it with friends or do a Phogoth run, which is extremely fast (so if you do happen to die, you can just quickly start over). Otherwise, it's way safer to do the other "no die" bounties on patrol, just doing patrol missions.