I don't think you are truly assessing how easy it is to get funny on the 13 playing it like this. Looks good on the chart, but get less than perfect on the 11 and it multiplies the difficulty of getting on the 13 just right. I feel like I've been funny on a ball like that a thousand times. You might be right about the difficulty of rolling the frozen 15 ball in while holding for the 11, if so I'd probably prefer the combo over getting on the 13 like you propose....again, The problem here isn't playing shape on the 13 from the 11. It's the assumption that the 13 is going to be potted in the side pocket nearest the 5.
View attachment 702251
I'd personally opt to shoot the 13 in the corner. ...but I also reap the benefit have having an option to shoot it in the bottom side pocket if I over run my shape.
The 3 ball is a complete non-factor in this pattern to the 13. You can upgrade that to a total non-factor throughout the rack, if the key ball is either the 10 or 14.