1. Bluetooth provides enough bandwidth for input devices. Or you mean latency? If that's an issue, then yes, this is a problem for mice.
2. I'm not sure about the relative strength of BT2.1+ encryption, and who knows at all how good or bad the proprietary wireless protocols are, but if needed it's possible to add another encryption layer (will require manufacturer provided driver/software). Then again, early BT peripherals had no encryption at all and people didn't seem to care. Myself, even with the weak localized signal, I wouldn't do sensitive stuff over wireless, be it propietary or BT.
3. I have no problem with 3 months. It could be a month just as well. You just charge it up. Bluetooth 4 has lower power mode, too, though I'm not sure if it's suitable or not.
4. Seven devices covers enough mice, keyboards, touchpads, cellphones, and headsets for me. 🙂
But even assuming BT is less ideal in some regards, and I didn't find concrete info to show that this is the case, different people have difference priorities. Manufacturers could also improve the Bluetooth standard if there's a need, and it's also possible to implement both Bluetooth and proprietary on the same device.
Imagine WiFi was manufacturer-specific. How stupid would that be? I have no idea why wireless peripherals are still in the dark ages.