This has been debated many times in the past. The result, is always going to be the same.
BetterSprintMod will not be allowed on MCSG.
Let's go over a list of the three main features, shall we?
Bold=No Vanilla Equivalent
1. Toggle Sprint - You can set a key to toggle your sprint, so that every single time you move forwards you sprint.
2. Toggle Sneaking - You can toggle your sneaking so that you don't have to hold down the button. This can be used to hide for long periods of AFK time or when you're in your inventory, typing in chat, etc. so that you can't be found.
3. Sprint Key - Similar to what Minecraft has now, you can hold it down to sprint when you move forwards. This is essentially a vanilla feature as of recent updates.
Did I miss any? Not that I know of.
Sure, you can always put a rock or something on your sneak key, but it won't work when you're in your inventory or typing, etc. so it's not fair.
Toggle Sprint, however... That's the most outstanding feature of BSM. Minecraft does not do that in its vanilla versions. MCSG makes an effort to keep gameplay as vanilla as possible. They do not allow any modifications that change gameplay.
For example, one of the modifications that is allowed on MCSG - OptiFine.
OptiFine, one of the most popular Mods on MCSG, improves graphics, allows for zooming in, and can increase computer performance. The zooming in feature can be negated by having a large screen with high resolution and looking closely at your monitor, and the improved computer performance can be near useless if you already have a good computer.
OptiFine does NOT change gameplay, and will not give you an unfair advantage in a fight. (CPU performance is your own issue.)
BSM, however, DOES. You can sprint more consistently, run over mountains faster because of the constant sprinting, and in overall combat it is unfair. Even with Minecraft's Sprint Key, the toggle feature for sprinting that BSM offers is different. With the Sprint Key, you have to sacrifice a finger's usefulness and availability in order to hold down the sprint key, which is not an issue with BSM. You can't move your hand as freely in vanilla Minecaft if you want to keep using it. (Depending on where you place your sprint key, but it still takes up a finger.)