Personally, I used to rigorously remove tiger:reviewed=* or set it to yes back in 2008, but then I gave up the following year and never looked back. These days, I ignore it just like all the other tiger:*=* keys. At least tiger:name_base=* can occasionally help me untangle the many accidental merges made in Potlatch 1. And tiger:county=* can help me recover lost data from back when we incorrectly assumed we didn’t need to distinguish name:left=* from name:right=* and ref:left=* from ref:right=* on a county line road.
That said, some other mappers have personally adopted this key in their respective areas of interest, using it in conjunction with Overpass as sort of a poor man’s MapRoulette. Removing tiger:reviewed=yes could be disruptive to them, but I’d be interested in helping these users migrate to MapRoulette or another tasking manager.
Ironically, in the suburban areas where I often map, if you were to remove all the tiger:*=* tags from a street, I would have to give the street much more scrutiny. Typically, many non-TIGER streets are poorly drawn ML extractions or segmented GPS traces with incorrect start and end points, or with street names copied from copyrighted sources that I have to follow up on. From this perspective, keeping tiger:reviewed=yes but removing the other tiger:*=* tags would be the safer option.