Many of us use about 25C over ambient. If you can handle more then you get more current for a given width.
I don't see my board being higher than this.
You misunderstand. The 25C refers to how large of a temperature rise you are willing to tolerate in the trace. So if your board is at 20C ambient, and you accept a 25C increase, then the trace calculation would crunch the numbers (width or maximum current) that result in the trace heating up by 25C (so the trace would reach 45C in this example).
Typical PCB copper thickness is 35um. Have you seen so thin component leads?
I was thinking a component lead may be equal to a 0.6mm trace wide (2A ?) if you flattened it.
You’re way, way off. 0.6mm is a typical diameter for a component lead, say, for a 1000uF 25V capacitor. Using math, the cross-sectional area is 0.283mm
2. Dividing that by 35um (0.035mm) gives a trace width of 8.08mm.
Even the dainty, thin leads of a DIP IC (0.455mm x 0.254mm) give a cross-sectional area of 0.114mm
2, which divided by 35um gives a trace width of 3.25mm.
In other words, the copper cladding of an PCB is far thinner than your gut feeling of it suggests.