I think a great stat to have (calling AtLarge) would be run out percentage when player comes to the table with an open shot.
Do it for both 8ball and 9ball on 7' and 9' matches, and compare the results.
To address your request, I went back through my data for 9 events from this year and last year. Unfortunately, all I have on 7-footers is this year's US Bar Table 8-Ball Championship. So the upcoming US Opens on 7-footers will provide some much-needed additional data for 7-footers.
Also, your request says "when the player comes to the table with an open shot." I think there is a bit of subjectivity in that, as one player might take the shot and another player might play safe. We could just eliminate the games where the player's first shot after the break was a safety. However, for the results below, I chose not to do that. Instead, I just calculated the run-out percentages after the break regardless of what shot was taken.
So the run-outs counted here are run-outs by the breaker after successful breaks (made at least one ball, no foul, legal break) and run-outs by the non-breaker after unsuccessful breaks (fouled, dry, or illegal breaks). ["Legal" here applies to the World 9-Ball and Chinese 8-Ball events, where at least 3 balls had to be pocketed or reach the head string for a legal break.]
As always, this applies only to the matches I watched from each event, not all of the matches in the events.
8-Ball On 7-foot Tables
• 2015 US Bar Table 8-Ball Championship -- Breaker 65% (64 of 98), Non-Breaker 54% (25 of 46), Combined 62% (89 of 144)
8-Ball on 9-Foot Tables
• 2015 World Chinese 8-Ball Masters -- Breaker 69% (50 of 72), Non-Breaker 48% (15 of 31), Combined 63% (65 of 103)
• 2015 Accu-Stats "Make It Happen" 8-Ball Invitational -- Breaker 69% (59 of 85), Non-Breaker 66% (21 of 32), Combined 68% (80 of 117)
• 2014 CSI Invitational 8-Ball Championship -- Breaker 77% (118 of 154), Non-Breaker 69% (44 of 64), Combined 74% (162 of 218)
9-Ball on 9-Foot Tables
• 2014 WPA World 9-Ball Championship -- Breaker 39% (89 of 226), Non-Breaker 55% (16 of 29), Combined 41% (105 of 255)
• Turning Stone XXIII 9-Ball Classic -- Breaker 35% (70 of 199), Non-Breaker 36% (46 of 127), Combined 36% (116 of 326)
• 2015 DCC 9-Ball -- Breaker 45% (46 of 102), Non-Breaker 28% (15 of 54), Combined 39% (61 of 156)
10-Ball on 9-Foot Tables
• 2014 CSI Invitational 10-Ball Championship -- Breaker 33% (49 of 150), Non-Breaker 40% (33 of 82), Combined 35% (82 of 232)
10-Ball on 10-Foot Tables
• 2015 DCC Diamond Bigfoot 10-Ball Challenge -- Breaker 33% (39 of 120), Non-Breaker 28% (35 of 123), Combined 30% (74 of 243)