Have you watched him this year? That was actually being generous to his play for stretches this year. His ES goal and assist totals in January equal each of those numbers for the first three months with Jan as his first multiple ES goal month ... this is the first month where he isn't leading the team's skaters in on ice for goals allowed ... as others have noted, his play was not impressive or up to the elite standard he's shown himself capable of. He wasn't leading and only capitalized on when there was a man advantage ... unlike say Karlsson, Keith, and Seabrook across the league ... or Josi (equal number of ES goals in seven fewer games) and Ellis (one fewer ES goal in 400 fewer ES minutes) if you want to look closer to home.
Weber is a dominating presence when he applies himself. Sadly, as others have also noted, he does not always seem to do so.
His play mirrored that of the team until late ... nothing at ES, depending on the PP (top six conversion rate for the team, bottom five in opportunities ... nowhere near enough to carry a team, but enough to make a player's stats look relatively good in spite of poor ES performance). For the team to succeed, it needs Weber to show up in all situations and play at the level we've seen from him in years past ...the play we've seen from him consistently over the past four games, not what we saw in earlier stretches.
As I have said earlier, you like to reference two things that I think are either not the best indicators of his play, or something that can't be fairly judged. Statistics that probably more accurately represent
the teams play, not the individual.
And then leadership, sorry, I don't think anyone can really paint a fair picture of that. Too much goes into that, that we don't see. Of all the things a coach would be able to see is going awry, wouldn't it be leadership? Would a player not giving the effort he should, not leading as he should, be getting the consistent amount of ice-time he's been getting?
I've been paying extra attention to him since he seems (oddly), to be the skater who receives the most criticism. He's consistently the best player on the ice each night. It's hard to find him out of position, uses the stick well, (Thanks to those two traits he's always calm and composed as opposed to flailing and diving around out there) throws hits every now and then, primarily when he's in the one of those rare out of position instances, scores goals, the team runs through him. Those few games where he was out, the power play, and offense as a whole really, were a disaster.
I don't think those things indicate a "PP specialist" level of play.