As I said, its not a coincidence that the NBA's current environment, and the loss of Jerry Buss coincided with the 7 year drought. That isn't an accident of fate.
No, it's not a coincidence.
However, I think that taking some time to recover from that and getting their footing again would be expected.
Probably not 7 years worth, but still expected. Jeanie took longer than she should have to give Short Buss the boot (it's her brother, so she likely felt she had to give him more time than she would anyone else) and she probably shouldn't have made Magic President of Basketball Operations, although he did help land Lebron and got rid of one of the albatross contracts that Short Buss saddled them with. But, he could have done that as the "ambassador/closer" that he should have been all along.
They finally seem to have more or less regained some footing and despite the concern of some (myself included) Pelinka seems to know what he's doing (or at least figuring things out).
The jury is still out obviously and if AD walks after the season, they likely have to do some serious restructuring...but things are much better now than they were even 2 years ago.
Also, it's not as if the Lakers have never experienced a down period. This is just the longest amount of time they've ever had between playoff appearances.
Considering there are franchises that don't have 7 years of playoff appearances in their history...I'd say that missing them for 7 years isn't the worst thing.