Makes sense to me. Lift the minimum and if you're not Visual then, get out of there.
Overall it would probably make more sense to use the normal decision height/altitude but put some increase on required vis/ceiling to increase the chance for something to be seen there and give a little more time to decide
That what is achieved by this rule, which is simpler because you don't have to rely on ATC/external reports of the actual cloudbase, measured to the micron. By lifting the DA, you are giving the new captain extra time to get the aeroplane on the ground after deciding to land. The Visual decision, after all, is instant, it's not sitting there for 100ft of descent trying to decide if you can make it in before the FO/Auto call of "Minimum" (or whatever it is).
If I see any effect at all, it makes the handling and decision making part of PIC job more complex on a particular day.
Why? No different to any other scenario where the minimum has been lifted for whatever reason. Just make your decision at the new DA. It might be commercially penalising, but that's irrelevant if the company thinks the risk for new captains at the normal minimum is too high.