With the screws torqued down, there will be little of no relative movement between the lanyard and the screw threads.Be sure to check those anchors periodically; I would be concerned in the long term that the threads of the screw will wear away or fray the cable material on the anchors. It's not pretty, but it works!
The solution offered by @pchaps looks good, too.
Has anyone found eye bolts with a M4 0.7mm thread?