Actually, isn't the difference between a No DQ match and No Holds Barred supposed to be the countout? I didn't think it was too unusual to me. I thought that was the general rule
This^
Like the fuck are you guys talking about?
From Wikipedia:
No Disqualification match[edit]
A No Disqualification match, also known as a No Holds Barred match,[30] or sometimes as an Anything Goes match or Raven's Rules match, is a match where neither wrestler can be disqualified, allowing for weapons and outside interference.[31] The key differences between a No Disqualification match and a standard hardcore match are that falls must be made in the ring, there is less emphasis on the use of weapons, and
often the Count-Out rule is still in effect for No Disqualification matches.[32] However, in a No Holds Barred match, the Count-Out rule is not observed, with a greater emphasis on weapons as opposed to a No Disqualification match. A match which does not observe disqualifications or count-outs, where pinfalls must take place in the ring, can also be known as an "Unsanctioned match", or, "Street Fight".
"No Disqualification, No Count-Out" matches may be used in feuds where a challenger may have won matches against the champion, but did not claim the championship because the champion was disqualified (championships may only change hands via pinfall or submission).
You are mixing it up with a no holds barred match.