When a user grips a conventional stylus, his index finger is in close proximity with the barrel for around 3". Without going into a lot of technical detail for why this is, my electrical engineering background leads me to suspect that Pete's suggestion is right - the problem is that using only 1" of tube doesn't provide enough capacitive coupling to the user's hand and therefore the stylus can't work.
There are two ways to increase capacitive coupling - decrease the thickness of the dielectric, or increase the surface area of the conductors that make up the capacitor. The dielectric in this case is the turned barrel, and you probably can't make it thin enough to make a difference without compromising its mechanical strength. So the other option is to increase the surface area of the conductors, which means make the tubes longer.
For those who want details - - -
https://www.techwalla.com/articles/how-does-the-stylus-for-an-ipad-work
But that begs the question - why does your friend want a double-ended stylus? You can only use one end at a time - - -
Incidentaly - for many years, I used an iPod Touch for e-mail and web access when not at home, and I found that using a stylus was very helpful. Later, I upgraded to a full iPhone, and while I still have my stylus, I rarely use it anymore. I'm sure that a stylus would help avoid the 'fat finger' problem, but frankly I just don't want to be bothered with having to schlep along a stylus in addition to whichever fountain pen I've selected from by EDC rotation. Also, my sense is that a stylus doesn't work as well with an iPhone as it did with the iPod Touch. Same stylus, iDevices are both Apple, but I don't understand why they behave differently.