Isn't the title "Independent Network" a paradox?
Maybe, though I think the naming supposed to meant providing a network-quality newscast to independent stations.
Though of course, some network affiliates also carried INN -- in addition to what was already mentioned, WEYI in Saginaw also carried INN at 11PM, in lieu of a local newscast at that time (during the 1980s until the mid-1990s, WEYI only had a 5:30PM local newscast on weekdays).
In Tampa Bay, WTOG also carried INN, both the midday and nighttime newscasts. However, in the mid-1980s, the midday report was replaced with a two-hour magazine style program, "Inday", which included an INN news segment. However, WFTS picked up "Inday" (as it was syndicated separately from INN's regular newscast), placing INN's newscasts on two different stations for a time.