See these all informal terminology you speak or read are conventions to understand the architecture of biasing. They are not a defined terms. So for your confusion about how to tell/speak biasing (as voltage or current) at that node, depends upon what is the physical quantity , required to operate the device. So node (whether base or emitter) may be called current biased or voltage biased. BJT device , base may be voltage or current biased, but in MOSFET device, it is voltage biased only. you can't bias the MOSFET gate from current.
Now you need to read the operation of BJT and MOSFET, with various operating modes, and how to bias them? I guess you can bias cllector by constant current source or giving some voltage >VCEsat.