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They still get very hot, though.
Another example: Every incandescent lighbulb. The filament is stupid hot in there, under a rough vacuum, and doesn't melt. I would be surprised if 1 bar even amounted to a full degree of change in melting/freezing point.
Water is volatile, and so it's a better example of variability at familiar scales. You'll notice the freezing point is pretty much vertical at 0C on the phase chart until 100s of bars. (And then gets lower because pressure pushes matter towards denser states, and ice I is, unusually, less dense than the liquid)
The triple point shows up when the boiling point lowers to meet the melting point, and liquid water ceases to exist as a stable substance. It's at ~0C.