Because a small reservoir would be less effective.
When you add an acid/alkali, you need a large amount of HA or A- to react with the added OH-/H+ so that the [H+] doesn't change by much and the pH change is resisted.
Imagine if you had a load of HA, but only a little bit of A-. If you added some OH-, then more HA could dissociate and replace the H+ lost and the pH wouldn't change by much. BUT, if you added some H+, there is only so much A- that could react (making HA) and the [H+] would increase and pH would drop quickly.