They met an interesting but transient need. The
space age ushered in the glamour of solid state consumer electronics, and, of course, the notion of auto radios that could run off of the native low-voltage (DC) power available in a vehicle rather than an inefficient and noisy (electrically speaking)
vibrator type* power supply was attractive to the auto industry, too.
The only problem was that practical and cost-effective transistors suitable for high frequency use came late to the party. Therefore, for a brief, shining (in the thermionic sense!) moment, hybrid radios with low voltage vacuum tubes in the front end and transistors for the final audio amplification stage (or stages) were a
thing. Economically speaking, they arrived at a propitious time: there was a pretty signifiant recession as the 50s gave way to the 60s that led to sea change in what Americans were willing to accept from an automobile. Purchase price and (gasp!) fuel economy became important to Mom & Pop Americans!
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Interestingly, Chrysler's original intent was to introduce Valiant as a
brand, not unlike Ford's current approach to the
Bronco nameplate (don't get me started on
that one)... but I digress...
EDIT:
___________________
* Re:
vibrators... get your mind(s) outta the gutter!

For those not old enough to have experienced them, this kind of vibrator was an electromechanical nightmare gizmo that made choppy, square wave AC out of DC. Nasty and brutish, but at least it allowed one to use
transformers to get some high voltage into the old Delco radio!

Yup. vibrators and trannys. Sounds like something best not researched on the internet unless SafeSearch is "on".