Yeah, Tv mode is EXCELLENT for situations when the Time Value (aka the shutter speed) is a critical factor. Good examples include when one wants to do panning shots, and a specific shutter speed is the critical factor. Same thing when showing moving water or waterfalls or whatever; set the desired Time Value, then let the camera adjust the aperture.
In Av or Aperture Value automatic mode, the user determines the needed or desired f/stop. At times, that is the widest f/stop, like f/1.8; at times, a medium aperture; at other times, it is a smaller aperture, like say f/11, which will give deep depth of field. Many times a SPECIFIC aperture is desired, so Av has been a long-time mode offered since the late 1960's or early 1970's in many SLR type cameras.
Programmed Auto appeared in the later part of the 1970's, and has continued to evolve. It can work quite well, as long as the user understands how it works, and what types of settings are critical, or non-critical. The biggest issue in some systems is that once the exposure is shifted, that the camera REVERTS BACK TO BASELINE exposures after every exposure is made, or after each sequence of Continuous motor-driven frames have been shot, or after the camera is switched OFF, any of which can make Programmed mode more of a pain in the azz than just going to Av or Tv mode, and setting the camera the way the shooter wants or needs it to be.
In a system where the camera's automatic metering will automatically revert to the "baseline" pairing of speed and f/stop, the automation must be continually overridden, which can result in a lot of wasted effort, or ruined shots, or highly inconsistent shots.