What the barrier can and cannot fix
An encasement stops the mattress from being a reservoir: allergen already inside stays inside, and new skin cells cannot feed the population within. That is a meaningful reduction in exposure for the eight hours a night you spend with your face inches from the surface.
It does nothing about carpet, curtains, upholstered furniture or the pillow you did not encase. Bedroom-wide humidity control below 50% matters as much as the protector, because mites cannot survive dry air.