I agree, 'Indiana Jones' is the sort of thing 4e can do VERY well, and plays to its real strengths. I feel WotC completely missed the boat on understanding what 4e was good for, at least until quite recently.
*sigh*
WotC missed the boat on 4E so badly that I almost feel like the system never got a chance. First it was like "4E will change everything!" Then it failed to really make an effort to convert players/DMs (especially DMs) by marketing to them - if it had made a strong effort to say "DnD 4E, now with less prep time, easier to run epic adventures in the style of your favorite movie, more balance, cool encounters, neat terrain effects, etc." I think it would have gained some serious traction. It failed to ever really give people a guide to running a Dungeon Crawl with 4E, leaving it up to the community (imagine if one of the first books had been a "crawl" guide that changed HS mechanics and made the old creeping tension crawls work in 4E). Then it started apologizing for its design decisions, practically continuously. Essentials was basically a long apology note to the community that... didn't really solve anything. All it did was make 4E players hate Essentials (and, to be fair, Essentials was pretty awful in most regards).
Now they're like "5E! Absolutely not 4E in any way! But we'll toss the 4E players a few bones."
I swear they have all the good marketing talent doing MtG and DnD gets the rejects from the MtG team. Given the market size of both games, that's probably the smart decision for the company, but I can't help feeling DnD gets shortchanged.