People have a very naive/misunderstood idea of what the problems and benefits of a pick and place machine are.
As others said, changing parts from feeders is a HUGE hassle. Think of it like changing the hard drive in your computer. It's not really that big of a deal, but if you had to do it 20 times per day (each time you wanted to run a new program), you would very quickly become tired of it. You would do anything to find a solution which let you not change the hard drive. That's about the same amount of hassle/tedium as changing parts in feeders.
It is most definitely not just sticking the tape in and you are good. It's a mechanism where you need to peel back the cover, feed the tape in, manually move it forward until the component appears, wrap the tape cover on whatever take-up mechanism the feeder has, etc. When removing a tape from a feeder, you inevitably lose anywhere from a dozen to several dozen parts. Then you have a cut tape which will lose the same number of parts again when you re-load that into a feeder. Beyond that, you have to tweak the feeders on the machine... adjust the pick-up height, the placement height, the pickup location, the rotation, the air vacuum and various other parameters. That can take as long (or much longer) than actually changing out the tape. You would be lucky to achieve 20-30 minutes per feeder for new parts, and 5+ minutes for existing parts which are already programmed. And it's not 5 minutes of enjoyable work. It's tedious, repetitive, boring, and error prone.
Anyone who has gone down this road will quickly want to amass a library of feeders with a specific part dedicated to a feeder. But that gets expensive, but even so, the cost of a feeder quickly eclipses the tedium and hassle of changing out a tape. As does the tedium of programming a new part eclipse the hassle/cost of re-using what you already have programmed (serializing/paralleling existing parts rather than loading new ones, etc).
PnP is ideal for long runs of boards with the smallest number of unique parts. As soon as you start PnP'ing, you will VERY quickly start to design your boards to be as much like that as possible, because the hassle of PnP is huge and you need to run a lot of boards or have the right kind of boards/BOM's to make it worthwhile.