The Pizza Hut down the street from my house when I was younger had a Nintendo Vs. arcade machine that had The Goonies on one side, and Excitebike on the other. I loved playing this game, but I didn't actually get to finish it until years later when I discovered emulation in college, and found the ROM for it.

It's so clearly a Konami game from the time you hit Start. The music, the level design, everything screams 'Konami'. The levels follow the film more or less, starting in the old restaurant, descending into the caves, and ending up on One-Eyed Willy's pirate ship. There's also a ton of stuff hidden all over the place, and special items to collect that help you out. Finding the earmuffs, for instance, makes you invulnerable to the musical notes fired off by one of the Fratellis, and the raincoat lets you run through water jets without taking damage. There are also diamonds hidden around that give you a ton of extra points. :)

A quick correction to your piece: while they use the same sprite, there are two different Fratelli brothers in the game. Francis is the one with the gun, Jake is the one killing you with his singing. I seem to remember that knocking them into a pit (usually by hitting them with the slingshot as they were jumping over it) took them out of commission for the remainder of the level, but this might not be correct so don't quote me on that. :)

Super fun game, all told. Excellent write-up, my good man! :)