Not specifically about punctures, but that analogy someone posted about cars is kinda interesting (I think).
In my parents' generation, say the 1950s, 1960s, if you had a car and expected to be able to use it, you had to be able to do basic maintenance on it, everyone could open the bonnet and had at least a rudimentary understanding of what the different bits were, what they did and what needed to be done to deal with common faults. Some of it was what we'd now call "urban legend" (or "total ballhooks") such as cracking eggs into radiators and tights as emergency fanbelts, but at least people generally understood what a cracked radiator or broken fanbelt was..
At some point in maybe the 1980s cars started being generally reliable and people stopped gaining the knowledge about the oily bits. Shortly afterwards it all went computery and now, even if you know what the things do, there's not that much the average home mechanic can do under the bonnet of a car anyway. Perhaps as a result of this, it seems that it is now acceptable to call the AA / RAC out if you get a flat in the car, and I know people who have done this, despite being perfectly capable of changing a wheel themselves - we just don't have an oily rag relationship with our cars anymore like what we used to.
Another example is computers - in the 1980s, if you'd shown someone a modern PC, and they saw that you could just turn it on and press the icons on screen and install peripherals by simply plugging in a USB cable, and the thing just works, they'd have been gobsmacked. Anyone remember trying to install, say, a modem, or even a printer back in the day? Again, the "plug and play" technology has changed our relationship with the machine - we don't expect to understand how the thing works or to spend half a day playing with DIP switches and disabling ports, and nor would we be able to, in many cases. You used to have to "know about computers" to get them to do things, now you just have to switch them on.
So, on to bikes.. Are we heading in the same direction? I can see it happening. I'm no great mechanic, but I can adjust the brakes on my kids bikes. However, the hydraulic system on my bike is a bit beyond me. Sure, I could learn and keep up with things, but my brakes don't need regular attention, they just work, so if they do need a bleed, I'll pop round to Garage Bikes and Al or one of his spannerists will do the job and charge me not much for doing it. I can index my own gears, but how about in a few years time when we're all on electronic gear shifting? Won't it be like cars, you'll expect that it has to go into the shop as it isn't really a home servicing task? Shock servicing?
The point is (and there is one, honestly, and here it comes with any luck) that once you establish that routine maintenance tasks are something that you go to the bike shop for rather than something you do at home and get a bit oily, that will become the normal route, and even the basic stuff that you could do will become a bike shop task, just like I don't "tinker" with my Mondeo, it goes straight to the garage.