Well in theory, an overheated sink will cool eventually. So when you're out of sinks, you could simply not eject the last and wait for it to cool before continuing to fire.
I understand it was a change dictated by gameplay, but still... it would have made more sense to include both, even if making the game slightly more complicated from a development standpoint.
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Yes, a used heat sink would cool eventually, but would be incredibly slow compared to an older gun that had a built in dissipation system. They did eventually include the M-7 and the Prothean Particle Rifle that used the old mechanics.