I suspect it was me who started that old NIGHTHAWKS thread.
The current DVDs are all cut, but they're not TV versions (I don't know where that rumour came from- no TV version in the world would have Stallone yelling "motherfucker" numerous times, lol!). I haven't been able to confirm this, but I believe the MPAA are responsible for the violence cuts at the end.
...when Stallone shoots Hauer only twice instead of six times as in the original...
All DVDs use the same R-rated print from the US, whereas the UK cinema and pre-certs appeare to have been sourced from the X-rated version and escaped any BBFC/distributor censorship. Pretty much the same as Friday the 13th... except that one eventually turned up uncut in Asia and more recently in the UK.
The Goodtimes DVD is cut as per the R-rated print, but does contain the original soundtrack (Universal never paid for home video rights- and so this film and many others were altered for video (ie. The Thing)).
The second song changed - just after Brown Sugar - was by Keith Emerson (and he composed the score!) You can hear a snippet on the original trailer.