But that's a complete contradiction. How was it an engineering marvel is the cooling system wasn't adequate and it had no foreseeable future?
Engineering is designing solutions to problems. There is no contradiction in stating that the solutions to problems can be very clever and even rise to the level of a "marvel" even when those problems only exist because the constraints put on engineers were unnecessary or misguided.
There was nothing innovative about the cooling system and it wasn't silent (in fact, the fan was maxing out under modest loads). It was just an aluminium heat sink connected directly to a Xeon CPU and two mid-range GPUs. It was a recipe for disaster since the heatsink must share its capacity with all three dies, rather than each being controlled independently, as with the 5,1 and 7,1 Mac Pros.
The constraints Apple's hardware engineers were given were roughly "~500W thermal budget, pack in as much compute as you possibly can, keep it as silent and compact as possible". They knocked it out of the park. Success on all fronts.
The product turned out to be an ill-conceived failure because it was a big gamble on pro apps not just shifting most of their compute needs to GPU, but also taking full advantage of multiple GPUs. That didn't work out, Apple wasn't able to push enough companies to recode their apps around the 2013 Mac Pro's architecture.
(Multi-GPU was especially important. CPUs and GPUs both get far less power efficient at the top end of their frequency range, so what Apple did to maximize performance per watt was to underclock two GPUs rather than put in a single high performance GPU. But in practice, very few apps were rewritten to take full advantage of this.)
No, it's not awful to share the same heatsink for all three chips.
No, the fan didn't max out under modest loads. This is literally the first time I've ever heard anyone claim that about the 2013 Mac Pro, reviews from the time said the opposite.
What on earth are you talking about? That's a contradiction. It didn't matter what their assumption was for future manufacturing processes; the fact is the strategy wasn't correct for the first generation of the device, hence why they overheated and failed.
You seem to live in an alternate reality. In mine, the 2013 Mac Pro was not known for overheating. There are known strategic problems with the design that prevented it from scaling up to what their customers actually wanted, acknowledged by Apple in that unusual press event they ran a few years back, but overheating? No, not at all.