I've also been affected by this, in 2.01. Playing on PC.
I've checked the obvious stuff, quick-pressing the call-vehicle key (default V) makes the UI button flash blue but makes no sound and no vehicle arrives. Long-pressing shows the dialog to choose which vehicle I want. I have about 10 to choose from, but after choosing and confirming I still get no vehicle. I've tried all of the vehicles I have available and none of them arrive.
But, after saving, exiting and restarting the game, calling vehicles works again.
I've fully completed the Almost Human quest, so I have my original car back.