Initially, I changed I 40 back to standard motorway tags in another edit for a couple reasons:

highway=construction tags should only be used on roads that are actually under construction and do not yet exist (i.e. I 40 is being built here rather than closed for damages).

The second reason would be that road closures are only typically specified if they're permanent or will last multiple years. This is due to it taking usually taking long periods of various lengths for many of the third party maps and routing systems that use OSM's data to actually identify or render that the data has been updated. However, this may not actually be too big of an issue since I 40's closure seems to be more indefinite than from what I had previously gathered.

Just now, I've added access=no tags between exits 440 and 20 per the map you linked. There may be a better way to specify a temporary closure due to damages from weather or if there's a confirmed opening date. However, I'd probably remove the access=no tags if a reopening is in the near future, like within a few months, but that seems unlikely currently.