No way. I believe we get 9 slots for armor, and another 9 for weapons (I think). That's [i]way more[/i] than enough. Seeing as the [b]ONLY[/b] things you will [b]EVER[/b] keep in the vault are [i]exotics[/i], you don't need more room than that. There is probably more than they have shown, but so far we only know of a [i]few[/i] pieces of armor for each class, and a bunch of weapons, but you have [b]ANOTHER[/b] 9 slots on your person for whatever doesn't fit. I doubt I will EVER find 18 pieces of Hunter Exotic armor. Weapons, [i]maybe[/i]. Provided I only ever make one character for the entire time Destiny exists.
If you store normal weapons, then what is wrong with you? Yay I found a new rare gun that I like better than mine, but instead of get rid of the now null and void old weapon and get money for it, I'll just keep it to waist room for the odd exotic I may find from doing Raids that I need 5 friends to do anyways. Mind you, who knows how common exotics will be from doing the story. Probably only two or three.