The reason the BET episodes are edited differently from other cable networks is because these episodes are from the 1986 syndicated re-runs from the Metromedia TV stations that became Fox networks. WNYW Channel-5 in NYC used to air these exact same edits because I have some of them on tape and I remember these included parts that TNN, Nick-At-Nite, and TV Land didn't have when they aired the episodes. So what you see on BET are rare clips that hasn't aired in over 15 years in syndication.
I remember when Woody Woodpecker began airing on the USA Network back in 1994 or 95 and when I had called WNYW and spoke to someone in programming I was told that USA Networks has acquired the Woody Woodpecker episodes from them and that the USA Network will air them. The USA Network is also located in NYC.