There's no difference nor specific meaning in the usage of the terms. These are basically the same thing. Like saying car or automobile, same meaning. However, to me, the term Strobe means a very rapidly flashing continuing light (like seen in some dance halls), which these are NOT. And Flash means a single flash for photography, which these ARE, but some people do imagine any flash is also called strobe.
Monolight just means the power supply is built into the individual flash unit, a standalone unit offering greater control. Old time studio lights often shared a common power supply and battery using power cables. Technology makes change possible.
The actual distinction for flash mode is Speedlight, which is typically all camera mounted flash, however some few newer studio lights are adapting that principle now. A studio flash typically controls low power with lower flash tube voltage, and therefore lower power is slower (longer) speed duration. But Speedlights are always recycled to full power, but they control power by abruptly cutting it off for low power levels, and they become very fast then (at lower power levels), called speedlights.
Another resulting difference is that flashes at lower voltage for lower power become more reddish at low power (technically cooler temperature, but the art world calls it warmer color). Speedlights at truncated high power become more blue at low power (truncating the cooler red trailing-off tail of power).
But White Balance correction is important for flash, there is no one color of flash, it typically changes a bit with power level.
I don't know, but suspect that these Godox may be speedlight construction, meaning being faster at low power whereas most studio "flash" are slower at low power. The Godox manual does not specify duration speed at each power level to know which it is.