If you wanted to open up counterspelling to items, I could see allowing someone to counterspell using a scroll, but not a wand, staff, or rod.
Why?
Because in the act of counterspelling, you actually cast a modified version of the spell which cancels out a "normal" casting of the spell.
Wands, staves, and rods don't actually cast a spell, because they are spell trigger items instead of spell completion items. There's no actual spellcasting involved - just point 'n' shoot.
A scroll, on the other hand, is basically a prepared spell in which the energy is stored on a piece of paper rather than in your head (or wherever that energy is actually stored!) - it is a spell completion item. Using a scroll, then, is just about identical to actually casting the spell.
So, I'd allow it with scrolls, but not other items, in the event that I'd allow it at all.
Excepting, of course, Dispel Magic wands and their ilk.