The above is oversimplified to be useful in this discussion because all you are looking at is the connector, see below.In any situation where the combined design would overload pins, the separated current would generate significantly more heat in the marginal pins. What separated does prevent is runaway degradation from the positive feedback loop of increased current breaking down the contacts and causing more resistance, but it won't "last forever" as you claim.
Realize that the engineering design of this power system is very advanced, it's not something a typical freshly minted 4 year EE degree will understand well, and frankly, even most grad school graduates would be challenged by it. This is something that takes real world experience to learn well and the true experts are highly specialized in switching power system design and that's all they do. I've been a practicing electrical engineer for 40 years and done some switching power design in the last 15 years. I find them fascinating devices, but there is a lot to them. When we have a big job, we farm it out to the guys who do it all the time. It's real easy to get too far in front of your skis with this topic.
That looks like a really hard way to approach what is a simple problem.Now, if we actually did want to do more engineering analysis, we'll need an analysis of how much heat the pins are capable of dissipating. That's going to be a complicated analysis that is dependent on the PCB temp, ambient air temp, and wire gauges in use. I checked and the spec calls for a maximum contact resistance of 5 milliohms, or 0.005 ohms, so technically the heat generated numbers would be half of what I calculated above. That does imply the design has very little tolerance for heat in the connector.
The simple approach is to stand on the shoulders of the connector manufacture and use their max current and ambient temp ratings and design the system to stay below them. Contact resistance comes in to bound the max current in each wire to the max current for each pin. This would actually guide one to the number of shunts required.
Think of the problem from the other direction, if the current in each pin does not exceed the spec max, and the ambient temperature is within specs, why would the connector burn up? I would argue, if that occurred, that the connector did not meet its datasheet spec, which is still possible here.
That said, how are you accounting for the variation in wire resistances from the power supply? If that variation is large enough, it will channel most of the load current into one or two of the wires then into one or two contacts and the connector is overloaded and burns up. Current balancing will prevent this because it will force all or nearly all the wires to carry the load thus keeping all the contacts of the connector in spec and the connector lasts forever.
People coming to this thread to seek reassurance that their 5090 won't burn up are going to be disappointed as that's not happening short of things like that PCIe 8 adapter posted earlier. At this point, there is no way to guarantee the stock boards are "fine".