Mine (I have two from the same batch) won't run either the official update files on any system (Card check always fails*) -- (I own DS Lite, XL, ad 2x 3DS's), the carts are both still stuck with the "DORASU" angelwings & halo game icon that they had when I got them in November.
The 2.2x and 3.x updates have not blocked them (yes, these are official r4ids.cn R4i Gold 3DS cartridges).
There are at least two known batches that have such problems with firmware updates, possibly more. I think there's only one batch that actually works without updating as mine do, but this is 3DS version not the version you have. I only mention it because this manufacturer is not as clean on its track record for reliability as it used to be.
On the other hand I had zero issues with my two R4iDSN.com R4iDSN Gold 3DS carts also obtained in November. Any updates on those have installed correctly.
also
If something is blocked in 3.0.05 it will be blocked in 3.0.06 too, but if it works for 3.0.05 it will also work in 3.0.06.
**a recent firmware fix (late Dec) that wasn't a bootloader update did install as the instructions described, but didn't change the icon or fix anything as far as I can tell-- it also still has issues running Wood off Filetrip, it only runs the Wood directly from r4ids.cn**