If you have no neighbours on 1, 6, 11, and you have a very very heavily loaded 2.4 GHz band with lots and lots of users, then I have seen it argued that the 33% increase that you gain in throughput from having 4 channels available in 1, 5, 9, 13 instead of the usual three, is worth the performance loss from frequency overlap. My WAPs can be configured to use either one or the other deployment patterns, presumably becomes relevant when the AP is doing automatic channel selection.
If you have a lot of neighbours and are crying out for more capacity in 2.4 GHz, then it would be worth getting together with all your neighbours and agreeing to at least all use the same allocation strategy, and maybe at least consider 1, 5, 9, 13.