Great question. I agree with turbochad69 (Newton's whatever aside, lost interest there), and also with some other guys that we mustn't forget Scout is only 1 inch shorter than Soldier (5'10 to 5'11, so both fairly tall), runs at a constant 17mph, and he can double jump (triple or even more after his morning crit-a-coffee). Just because he's pathetic we can't just assume he has weak legs.
When I saw this question my mind went as it often does to The Legend of Zelda: Ocarina of Time -- the greatest Nintendo 64 title, the greatest speedgame of all time, and a direct precursor to Team Fortress 2 in that it pioneered sticky jumping and ubercharge, ironic frag videos, constant idiotic ruleset drama, random crits, hackusations, jump maps, mge mains, the thing where you taunt next to someone and it looks like youre humping them, friendlies, someone competing virtually undefeated for 10+ years, rktking, and some stuff I can't link like the invite illuminati. All this can buoy us along to a vaguer, previously-unthought connection:
The Iron Boots.
For comparison:
As the dialogue goes when you find them:
dialogueSo heavy, you can't swim. So heavy, you can't float.
Indeed these boots -- or rather the iron -- are -- or rather is -- heavy enough to drag link to the bottom of a lake, to ward against the wind of huge fans, and to artificially extend total playtime by at least an hour. They slow Link's typical loping gait to a ham-footed brass-beast march on land (directly halving his walk speed from 9 units per frame to 4.5), but for some reason (perhaps Newton's whatever law) they speed him up when walking underwater.
Let's compare the four victims of these boots, shall we, being the legs of the two wearers? Yes
Vitality
Now, let's use a consistent stat across games to compare the physical capabilities of the three characters in question.
The Scout, as some of us will already know, comes to us with 125 health, buffable to 185. The Soldier comes with 200, buffable to 300.
Link is obviously more complicated to work out. We can start by taking his "canon health" from OOT: 3 hearts, 'buffable' via Heart Pieces and Containers to 20. But if we're to assume that the smallest unit of health is the same across games, then we have to carve Link's hearts up to get the true value: not only into the quarters you might have assumed, but actually into invisible sixteenths, which the game rounds up into quarters in order to display them in the heart meter. Assuming 1/16 of a heart translates to 1 TF2 health, Link would start off with 48 health, buffable to 320. He is therefore 2.60417 times weaker than the Scout at his base health, and 4.17 times weaker than the Soldier, who is also Counter Strike 1.6 times stronger than the Scout. But we must consider overheal and Heart Containers both: at their maximum potentials, Link comes off the best, just edging the Soldier and screaming ahead of the Scout by 1.72973 times. What does this mean?
Anyway, we can increase our understanding of Link's vitality by looking at additional appearances of the same incarnation in different games. In Soulcalibur II, one of the greatest fighting games ever, Link appears in an incarnation one must assume is around the age of OOT's "Adult Link", but seemingly from the split timeline where he was sent in his child body with his adult memories in order to prevent Ganondorf from obtaining the Triforce, leading to the 'Child Timeline' series of games, consisting of Majora's Mask, Twilight Princess, Link's Crossbow Training, and Four Swords Adventures for the Game Boy Advance and GameCube both. I put it to you that this Link is roughly halfway between his appearance in Majora's Mask and his appearance as the Hero's Shade in Twilight Princess. (You may be thinking 'but that puts the Hero's Shade in his 30s!', in which case I will destroy you with this simple fact: he was slain in combat.) In this game, Link's health, like everyone else's, is 240. Unfortunately there is no record of this instance of Link wearing the Iron Boots, but we can see that this Link increased his base health by 192 points, equivalent to 12 extra hearts, for 15 total. Purely from dungeon boss Heart Containers, Link will gain 8 hearts over the course of OOT -- and there are 4 to gain in Majora's Mask, so it is to be assumed that canonically, Link did not find any Pieces of Heart, never reached his 'max health', and ONLY increased his vitality by defeating the 12 relevant bosses in his two N64 games.
All this suggests Link's health around the time we see him wear the Iron Boots (between the Ice Cavern and Water Temple, brief fan-resisting in Ganon's Castle notwithstanding) is 9 hearts, or 144 in universal (TF2) units (U(TF2)U).
So what can we infer from this?
It's hard to say. I'm not sure what infer means. On the face of it, it would seem that as the Scout has less HP than Link (forma del templo del agua), his move speed would therefore be reduced by MORE than half if he wore the Gunboats. You may be thinking: 'but Scout can double jump!' The sad ugly unavoidable truth is Link's single jump is infinitely higher, and Scout is a certified, licensed weakling.
edit: ubercharge evidence