My CMOS/RTC battery in my HP notebook is down, and it's a rather rare CR2320 with wires. Ordering this item takes 2 weeks. Instead, I could order a CR2032 with wires within 2 days. When both are 3 Volt and the CR2032 fits into the case just fine, is this okay to do or can it harm the notebook?
I would not get an alternate as you could actually do a lot of damage by placing the wrong battery in it. Additionally, I would suggest not getting an aftermarket battery for the same reason. They can damage the device.
Some aftermarket stuff is fine, laptop batteries are not one of them.