It's good to try it though...
If you hadn't you'd always have wondered if we were just spending money for the sake of it.
I think Wafter's method of running two chains would mean you can probably get twice as many miles as long as the chains are swapped very regularly.
As I've said elsewhere recently, it's still a fairly cheap swap so to me it's not worth the additional hassle of trying to remember to swap the chain. But, as I do remove it all to clean wouldn't actually be any extra work as such.
Double the life is probably pushing it as it'll still wear regardless of chain position, but I'd expect it to extend sprocket life beyond what you'd get using a single chain.
@EltonFrog - seems your drivetrain has worn at about four times the rate of mine; which seems very rapid although IIRC Brompton advise changing chain and sprockets at 2k miles and who's to say what level of wear would be present then... so maybe your experience isn't too far from the manufacturer's expectations.
Every time I order from a Brompton supplier I toy with the idea of buying a spare set of sprokets but am always put off by the thought that the ones I have might not need replacing for years.. I think when one starts slipping I'll likely just replace that one in isolation and leave the other in place to get the most life out of it.
My gut tells me that the 13T sproket will likely last longer since it's signficantly thicker and the tooth profile maybe a bit more resileant.. interestingly the current spec sprockets now share the same "multi speed" profile of the 16T; I wonder if the deeper tooth profile on my 13T sprocket is contributing towards the damage I'm getting from the chain striking the rear frame during shifting..