why can you not look at a welding flare with your bare eyes but can look at it on tv without eye protection?
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A TV doesn’t have enough power built into its display elements to shoot even a moderate fraction of the light from a welding arc. A typical welder has a higher power input than a TV, while the welder pumps that power into a *much* smaller space. Even if you make the (faulty) assumption that both are making all their power into light, the tiny arc from the welder is pumping out much more energy per unit of area than the TV. Lots of light per unit area is one thing that kills your eyes, so there’s your answer.
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