Ok, I've begun work on the second version. You can download the first part of it here, it goes up to leaving Route 17...
Start to Route 17, 4:48
In my original movie, my time upon finishing Route 17 was 5:37. The new version is that much faster for a couple of reasons. First of all I made one slight Route alteration. After I meet Michael on Route 3 I keep on going and exit, and then enter Route 9 from the other end, go on to Route 11, beat Gahz, and then continue normally. Doing that is a bit faster than backtracking through Route 3, going through Route 2, and most of Route 11. Though at the same time, I don't get to kill as many enemies, and thus don't pick up as much cash as I did the first time through. I did some testing, and while my new way is faster, I lose out on about $4000 or so...
The battle with Gahz is improved a bit, mostly due to shooting him earlier.
I summon the shop, now, immediately after defeating Gahz, and pick up three Boots and three Shop Calls. There is one thing I neglected to mention when I was giving my tally of the game's physics before, and that was that every Governor's Medallion you recieve gives you $20000 on the spot.
A few times in Route 9 (second trip) and Route 12 I either pause, or back up just for a moment, this is due to needing to put myself in a better position to shoot an enemy. Since I am now moving faster in these levels than I was the previous time due to the boots, it was needed, but at the same time they are faster even with these brief pauses.
I remove the boots before I start crawling through the narrow gap in Route 17, because they don't let you crawl any faster, but they STILL drain energy while they are equipped despite that. So I have to conserve them, afterall.
I made one more change to the planning of this movie, and that was that I bought one Scuba Suit. While I didn't need its underwater life-preserving properties, it DOES let you swim faster. And during a test battle with Shark, he died much faster while using the Scuba Suit. So far he's the only boss to my knowledge who dies faster using a different weapon. Though I'll have to make sure to keep trying different weapons on the others, and see.