I agree with you in that it's a priceless feature, when you need it, it's exceptionally useful.
It's not priceless, and in fact only useful in very limited cases. Namely when a) the computer itself is still ok so that you can actually boot into the firmware AND b) the drive itself is still relatively intact AND c) the OS on the drive is corrupted to such extend that it doesn't boot AND d) you have another computer around with the same port (FW/TB) and which understands the Mac filesystem.
Only in that that circumstance, TDM is somewhat useful (in the sense that it saves you some minutes compared to the alternative below). Otherwise, you're almost always better off with easily removable drives and a IDE/SATA-USB adapter (which works even if the computer itself is completely dead) or with a flexible linux live cdrom/usb drive (which can mount the drive and copy the files to be rescued to external drives, burn to dvd or export over the network to Macs and non-Macs alike).
It is not a matter of port capability though, but rather it's a firmware feature. In the case of the Apple laptops, there is nothing special about the port or the chip set - target disk mode is a feature of the EFI firmware.
Peecee makers could implement this in their PC BIOS if they wanted to.
No they cannot, and neither can Apple, despite using EFI. In addition to smart firmware, TDM requires USB host-mode support in the chipset. USB was explicitly designed as a host-slave setup, where the computer is the host, dumb devices are slaves, and the roles cannot be reversed. This was later amended with the USB On-The-Go spec, but that requires extra chipset support (it's not in the Intel, AMD and nVidia chipsets used by Apple almost all PC makers) and non-standard cables, and never gained ground in the PC world (it's mostly used in embedded applications and on some phones).
But since this target disk mode capability is relatively unknown outside the Mac world, well, ignorance is bliss. They don't know what they're missing, so the Peecee makers have no incentive to implement it. Heck, I'd wager most Mac users don't even know about it.
It seems the ignorance is mostly found in the Mac camp with people who have occasionally used TDM and keep raving about it, apparently barely aware of all its limited scope, and the fact that a bootable usb stick is almost always a better solution.
Seriously, Macs have enough perks to sell as they are, and TDM can come in handy in some cases. But I really wish people stop hyping such a minor and marginally useful feature (which isn't even present in all Macs anymore) and make themselves look like a bunch of religious fanatics.