I think I could have been more clear of my intension for doing this. Lets say I am going to work in a tree and remove it but did not want to tie into it. The tree behind said removeal was good but had a sprawling canopy. Tieing into a self equalizing anchor like I had shown could come in handy. You could have a tie in point away from leads that will be in the way of your line moving side to side, and also have a tie in point that will for the most part stay more directly above you while working so not to cause to much lateral pulling. I hope this could clear my reasoning up a little.
I compleatly agree with the whole shock loading if one side where to blow out. I would stick to the double tie in point if I thought one side was weak and needed a back up (rather just take a swing then a nasty fall and swing).
Not to get off topic or to far away from the tree side of things, but might be something for someone who has not played around with SEA in the past. When I rock climb I 95% of the time will throw an over hand knot or eight into the SEA so not to have it shock load if one part rips out. If I am to tie a knot into it thou I try to keep the distance between each anchor the same. Reason being is that if one is to fail the force on the last two will be more equaly shared still, where as if they are (as three anchors) all diffrent distances apart from each other and one rips out one will have all the weight.