“Learning to use the light emitted by the portable flash unit to imprint additional frequencies onto the sensor of my camera to enhance the subjective view point of the observer”... sounds like the title of a Master's Thesis from an Ivy League Unversity...
However, painting with light evokes the idea of either using multiple firings from a single flash to illuminate a subject or by moving a continuous light to illuminate the subject and/or using a comtinuous light moving around to make a pattern of light. An example is to photograph a flashlight hanging from a string in a dark room with the shutter open...
Regarding the difference between Speedlights (Which are, by definition, Canon Hotshoe Electronic Flashes, not Metz, Yongnuo, Sunpak or any other brand of electronic flash) and true studio strobes...
Just about the only advantages of the Speedlights are portability and the ability to use HSS in shooting action. Battery power is sometimes considered another advantage but, we are now seeing some very capable studio strobes which have battery capability.
Studio strobes are better in every other way. Especially due to their major advantage which (IMO) is their modeling light capability...
Other advantages are power, ability to interface with stands and light modifiers without jury-rigged modifications, steady recycle times, optical slaves, and quite often price. You can obtain some very capable studio strobes for less than the price of a 580EXii.