there is motion blur trail on 120hz bfi,can dlp avoid that

[derekchan]

i connect 60hz ps4 console and 120hz pc to lg c1 ,and there is motion blur trail when playing 3d shooter.

also i tried 60hz and 120hz bfi but there is still blur trail remain when i flipping the analog stick or mouse to target enemy and looking around

can a non sample hold dlp projector like benq w4000i handle 60hz or 120hz signal without blur trail?