I will not miss the combination of relics and legendaries in Legion, specifically how difficult they make it to switch specs (or worse, characters), and how incredibly luck-based the drops are (not so much for relics but for legendaries).
Don't get me wrong, Legion is one of my favorite expansions period, but there are definitely things that piss me off more and more as I try to diversify my gameplay experience, be it by switching specs, gear, characters, or whatever.
I just feel like both relics and legendaries were failed experiments in a sense. While artifacts were meant to be an investment and somewhat mitigate the loot treadmill in the weapon slot, the presence of relics for weapon-reliant specs made it so that you actually need to accrue THREE pieces of loot PER spec, rather than just one or two (like a warrior or DK, who use same weapon for different specs).
Legendaries are just.... not well done. I think the main thing is that Blizzard just underestimated how important some of them would be and just how unsatisfying it is to NOT have certain ones on certain classes. At this point they could fix the problem with some kind of legendary-trading system (even at a less than 1:1 ratio). Really, now, I don't see who this would hurt at this point considering most hardcore players have had their BiS legendaries for months already. Like, it sucks starting a rogue at 100 and knowing I'll probably never get the right legendaries by the time the expansion is over. Granted, I don't NEED them for the level I play at lately, but they often "smooth out" certain builds to a point that not having them is really more a matter of diminished fun as opposed to raw numbers.