I would much rather wear a climbing helmet than a construction hard hat in a serious situation, and I have worn both at various times. Climbing helmets are tested or both side impacts and retention when subjected to force, as well as impact from above.

In searching for data to respond to this post, I ran across the following:

https://www.bna.com/safety-helmets-replacing-n73014461149/

Apparently, the standards of climbing helmets are replacing the traditional construction requirements, which is good all around. Just do something better than the trad had hat, and if that is all you have, at least equip it with a chin strap...

True, hard hats are cheaper than climbing helmets, but the cost of either is insignificant when compared to the costs of medical treatment or even a funeral.

I use a Black Diamond Half Dome climbing helmet, and closures are available for its side vents, if desired. Nice in cold weather.