The keyword there is responsibility. It's a reasonable approach - taking some workload off government immigration bodies to speed up the process, and it saves the taxpayer money because the costs of background checks would fall on the company doing the recruiting.

Companies recruiting foreign talent would likely need to register on this programme and will have to do their due diligence when recruiting - perhaps subject to fines or prosecutions if they fail to do proper checks. I can't say for sure as I can't read the proposal.