Lots of folks are already using 3rd party sites like raid.report, trials.report, nightfall.report, etc., as well as the old standbys (DestinyTracker, DestinyStatus, etc.). To the extent that it makes sense, it would be fantastic to see those automatically integrated into gaming sessions.

For example, you could add a row of icons to each user's "card" in a gaming session (below tags/karma), and those icons could direct you to the relevant sites to check these stats. An icon for raids, an icon for Trials, an icon for Nightfalls, and so on.

Even more ideal would be the option to have this data automatically pulled in (the way Charlemagne works in Discord), so you could just see relevant stats inline. Gaming session is Spire Of Stars? Show that person's Normal and Prestige clears, % of clears that were full runs, and fastest runs for each. Session is Trials? Show their Trials stats. Session is NF? Show Normal/Prestige completions, fastest, high score, etc. And so on.

Whatever the case, a feature like this could also go a long way towards reducing some of the toxic "must have 10 completions, I'll be checking stats" types of gaming sessions that we all see. If that information is available to all inline, or only a click away, it'll disincentivize folks from joining sessions where they don't meet the criteria and wasting others' time (which is a somewhat common issue, at least with raids/Crucible LFG where the creator is asking for some stat/completion/etc.).