I just tried to play the "under the necropolis" lair in solo and didn't have a good time so here are some tips on how to improve the experience.
First: dungeon lairs should be a single encounter, if you're giving me a lair that's half the dungeon you might as well give me the whole thing.
Second: imo the rewards should reflect the activity and be spread out throughout the encounters. For this lair for example having the first chest not give you anything is very strange.
Third: this is something more general that has to do with both pinnacle and team ops, either enable matchmaking on all of those activities or make it so that the timer scales with fireteam size.
What you've already done with the reclaim activity is very good cause it gave us a viable farming method different from caldera or k1. I'm happy to see improvements in these activities cause personally I like the portal much more than the old vanguard ops node in the directory. Hope this feedback helps.
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Fourth: Make the dungeon weapons from the actual dungeons tiered Fifth: (this is a maybe) make dungeon lairs soloable for the average player or add matchmaking to dungeon lairs.