My poor old brain has trouble grasping climb vs conventional diagrams without teeth, and it's what the teeth do that make the difference.

Climb milling is better in every way apart from one! Unfortunately it puts maximum stress on the machine. Bad things happen if the machine and work-holding aren't rigid. Conventional milling uses more power for the same volume of metal removed, is slower, and tends to leave an inferior finish, but it puts less force on the machine. So conventional milling is safer on worn and lightly built machines.
I do metal removing cuts conventionally but finish with light climb cuts. Even though they can't take it full throttle most well-adjusted small machines should manage shallow climb milling. Just don't overdo it!
Dave