Paralleling pins is something I’d do only as a last resort, to be avoided if possible. Using a connector that supports the required current on a single pin is preferable. Why? Because if one of the paralleled wires should break, the contact fail or get corroded, or anything else cause one of the contacts to stop carrying current, the remaining contacts will dutifully carry the failed contact’s current, potentially resulting in overload.
Interesting way to think, because I arrive at the complete opposite conclusion. If the single contact you are using fails - a typical failure mode is increased contact resistance after all - you are seeing the very same overload. Just with much much higher probability because all you have is the single pin.
Paralleling contacts averages out the risks of failure. If any contact increases its resistance, it still only sees the voltage limited by the drop over the other pins, contributing as much as it can but not overheating. Others are sharing the extra load.
So even if the design is marginal (meaning e.g. using three paralleled 2A pins to replace a single 6A pin), I'd
still say it's more reliable. And paralleling pins offers you a attractive way of flexible derating. Use four paralleled 2A pins to replace a single 6A pin and now one can fail
completely open; or two can fail partially to higher resistance; and the design is still within limits.
You see paralleled contacts all the time: in server power supplies, Schuko plug earth contacts, whatever. And I think it's for reliability reasons.
I can see how your logic works, but it would work in a model where (1) failure is a binary function of exceeding current rating (below: OK, above: fail), (2) failure mode is full open circuit. If that model was coupled with not providing any extra pins beyond the minimum calculated number, then surely one failing would cascade into all of them failing, and probability would be increased by the number of paralleled pins. But this model does not match the reality.