Snakes are not all constructed alike. The cheap hosa snakes have each wire individually shielded within the snake. They basically just took a bunch of their cheapy wire with molded ends and wrapped them in rubber tubing. I would think that this kind of snake would be okay to remove the tubing.
However, I have some Mogami snake that you really couldn't do that to. Although each wire is individual, they are so thin as to be practically unworkable outside the tubing. They would easily become a tangled mess of cable spaghetti and would probably not be sturdy enough to withstand even normal use. Most snakes would be like this.
Some snakes have each wire indiviually shielded within the snake, and some have shielding for the entire group only.
I personally think it's a bad idea to take apart a snake. You ruin the snake and will most likely get unusable cables anyway. better to just go out and spend the money on however many cables you need. Or, move your gear around so that you can use the snake. Likewise, if this is a thought of a way to try to save money, forget it, it will not work in most instances.
Just my opinion.