In the early 80's storing data on standard audio cassettes was popular and the cassette drives were a fraction of the cost of a floppy drive. Was there a reason why storing data on cheap videocassettes never became popular?
These decisions were more due to the cost of the hardware rather than the medium. A VCR was a much larger and more complicated device. In 1978, a VCR would cost over $1000 while the Disk II from Apple was introduced then at a cost of $595. VCR prices went down but so did floppy drive prices (the Rana Elite - a cheap clone of the Disk II - could be had for $179 in 1985). There's also another but smaller issue that the way VHS tapes stored data in short diagonal stripes, was designed for video and probably wasn't as suitable for other kinds of data.
That said, tape drives exist and are still used today. But are more like descendants of the cassette tape drive than VCR.