We're not talking reality here, this RPG fantasy and your staffs can be enchanted to do serious damage in combat.
I'd like it if staffs would have touch spells, and you'd whack them with one. But that's something different than using them as a pure melee weapon.
Actually, that's a good way to reintroduce staffs as melee weapons. So when a staff has an on-target spell as enchantment, it doesn't have a melee function. But let there also be on-strike enchantments for staffs. So then you swing with your staff, and whenever you connect, you hit them with the enchantment. They could also add a bit of melee damage to it. Then they can also have staves with only a constant effect (like light 40ft), that you can use as pure melee weapons. But whatever happens, I still want staves with on-target spells that I can use with the attack button. It just makes being a pure mage a lot easier.