I remember BRouter users complaining in past about the exact opposite, when routing through highway=construction was not allowed :-).
As due inconsistent and improper tag usage such ways are often perfectly passable, as it was just space limited a/o temporary repair.
Also, it is often not a total closure, but pedestrian can pass and length is limited.
If you are in long distance travelling mode, you rather go 200m on feet than going along 5 km long bypass.
Optimal routing is often a trade off between effective false positives and false negatives.
I would say high penalty but not forbiding it.