While it is painful to move, the frequency for repeat customers will doom most disruptors. An established company with a massive network like U-Haul could do it except for the fact that moving things is a skill that people consider to be "just manual labor" and avoid paying accordingly.

For apartments though, I could see a "house concierge moving" as-a-service being a possible disruption of established moving companies. E.g. they move you for "free" for appropriately long and priced lease. The "hostage holding" of your goods is a non-event here since the goal is to have a happy tenant.