Fenix LD20 replacement tailcap?

My daughter's EDC Fenix LD-20 has suffered from a case of battery leakage, and the entire tailcap is a corroded lump inside. The battery company is sending me coin for a replacement (already ordered), but I thought I'd also try to salvage this one. The tailcap will not unscrew for disassembly (got it off the light OK) and attempts to get it to do so have pretty much made things worse. Hey, it was busted already, right?

Looked around, the Fenix site has this: http://www.fenix-store.com/product_info.php?cPath=25&products_id=219 It's listed as a complete tailcap for the L1D/L2D series. Since the LD-20 is the follow-on to the L2D, I'm wondering if the tailcap would fit on a LD-20? Failing that, anyone have a pointer to something that I could use as a replacement?

I think the L1D and L2D tailcaps are not compatible with the LD20+.
LD20 tailcaps should be easy to find - cost 10 euros in Europe and probably not more than 10 dollars in the US.
There might be resellers in the Marketplace that sell it too.

If not drop a mail to Fenix and they'll let you know where you can get it.