My :2cents:
"...chirps are often flower-like in structure, resembling the CymaGlyphs of human vocalizations. "
The interpretation that arises from their senses in their mind (an anthropocentric word to begin with with many implications) may not be so direct as the article seems to imply. I would compare it to the difference between being able to take an infrared photograph, make a chart about infrared data in braille, feeling infrared radiation with your skin, and actually being a creature that sees the infrared spectrum. All these are experietially different but interpret the same data in different ways. We don't know what happens in a dolphins brain when they receive their echos back. Maybe they "see" a picture, maybe they simply "feel" a shape. Whatever the case, I highly doubt this sound imaging technique emulates the actual sensation in any way. The only use this will give is being able to SORT our data better categorically, looking for patterns that may not be clear in a regular sonogram.
"There is growing evidence that dolphins can take a sonic 'snap shot' of an object and send it to other dolphins, using sound as the transmission medium. We can therefore hypothesize that the dolphin's primary method of communication is picture based."
For this to work, they would have be able to PERFECTLY emulate ALL aspects of the echo with their organs. Personally, I doubt they can absolutely perfectly replicate the echoes they sense, so IMO the vocalizations they make would be more like approximations to get the general sense. If we go with the picture language description, it wouldn't be like sending HD video feeds to each other, more like general cartoons or caricatures with all the major important details.