Is 6200 lumen noticeably brighter than 5000 lumens?

Our perception of beam intensity would scale the same as lumen output. Think about turning the brightness up on a light: the lumen output and beam lux go up by the same amount. Lux is just lumen per square meter afterall.

That’s almost a 25% difference so yeah technically you will be able to notice it.
However, differences in deflectors or beam shape also have an effect so you can’t really compare unless it’s two of the exact same light.