Sounds like No. 2 needs a signature hole. Maybe they can turn 15 into an island green or something.
But just thinking architecturally, I think 3 at No. 2 is at least as interesting for professional play as 10 at Riviera. 10 at Riv is fantastic in concept with the three different intended routes of play from the tee. But in practice, it seems like everyone just bangs the ball somewhere up near the green and hopes to get up and down. I don't find it all that tactically interesting as a result. Even for recreational play, it's pretty clear that anyone who has the distance to get within 30 or 40 yards of hole-high should just do so, since the layup options leave really difficult shots from angles that are somewhere between "disadvantageous" and "impossible."
3 at No. 2 features really similar angles and options... you can lay it back just short of the right-side bunker that juts out into the fairway to leave a distance wedge, take it over that bunker and leave a pitch, or take a rip at the green and take your chances. The green's orientation is a little more favorable from the left side as compared with Riviera's 10th - you've got a better chance of spinning an approach and holding the putting surface at No. 2 whereas at Riviera the layups are really just fool's gold. No matter what angle you take on 10 at Riviera, you're going to be facing something akin to a recovery shot to a teensy tiny target for your second. The fact that you can trade some distance for a truly advantageous angle on 3 at No. 2 makes me think that it's the slightly more tactically interesting hole in 2024.
Donald Ross seemed like a pretty low key guy. All those years drinking morning coffee right alongside the 3rd fairway, and he never thought to icon it up. Real missed opportunity.
This course, with its shortcomings in iconography, also features Ben Hogan's purported favorite par 4 and the hole that inspired the following:
https://golf.com/travel/iconic-holes-pinehurst-no-2-hole-5/