When I get "PWM" from Power Integration, they come in different types: (referring to feed back type)
CV Constant Voltage used in DC to DC and AC to DC power supplies.
CC Constant Current used in LED drivers and LED light bulbs.
CCCV Used in battery chargers.
TI "Current Regulator " is CC, (feed back type)
Under energy harvesting there is constant power (in or out) Also maximum power point feed back.
PFC has both voltage feedback and power in feedback.
Is it just a matter of speaking?
You are right there are many different ways of saying what type of feedback is used.
The UC3842/42/44 in the data sheet "Current-Mode PWM Controllers" ( TI, ST, Cherry, Unitrode, Samsung say CM but Fairchild does not say Current Mode) same part. Most of the times when I used the 3842 the feedback was voltage, the mode is current.
Onsemi NCP1252 current mode
Linear LT1619 Current Mode
Maximin MAX5975 current mode
Fairchild FAN7602 current mode