It can be different yes. As far as I know, wavelengths that you don't perceive will not cause your pupils to contract in response to harmful intensity of light.
While it can be very bright in the open sun, your eyes will compensate for this. A light source which emits harmful amount of IR and little to no visible light will probably not elicit this reaction and damage your eyes without you realizing until it's too late.
Infrared lasers are particularly dangerous for this aspect.