No-taps are fun, and I like to bowl in them. The success of high average bowlers largely depends on the handicapping system.
One house I go to caps scores at 300 in all handicap tournaments. This house also handicaps at 90% of the difference of the highest average bowler in the tournament. High average bowlers tend to dominate no-taps at this house, especially when a 235-250 average bowler comes in, and the 220-230 average bowlers end up with handicap of some sort.
Another local house uses 90% of 220 and does not cap scores at 300. Higher average bowlers do not win as frequently here. However, in one no-tap I bowled here a few PBA regional guys showed up and won the tournament. A couple of weeks ago, I bowled in a 4 game no-tap here and the winning score was 1277. The 220+ bowlers were not pleased.
At the end of the day, I bowl in no-taps more for fun and not necessarily to win anything. They are a great way to get some tournament experience, especially at other houses, and have a fun time.