Actually, you are incorrect. Visit AOPA's website and do a search for their Nall Report. Flight time has a tangible, proven, direct correlation to accidents and incidents. The low time folks being the most dangerous, and oddly enough... the EXTREMELY high time folks have a bump back up from being the lowest risk.

The Nall report showed the under 100, 500 & 1000 to be the most dangerous

Slightly less risky were the over 1,000 and under 2,000 non ATP's

The ATP crowd was the least dangerous UNTIL they reached like over 25,000 hours and then was a small bump up again in accidents and incidents; but still well well below the under 1,000 crowd, and below the higher time non ATP's.

If you dig through the report enough, the general take is the ATP ticket holders are statistically the safest. People may not like it, but the stats are what they are.