Can you get updates and skins on Minecraft Xbox 360 using the digital disc version?

I'm looking to buy Minecraft for my Xbox 360. I have the Pocket and PC editions and I like them very much, so I figured I would get the one for the Xbox so I could play it on my Xbox when I can't on my PC. I don't really want to go to all the trouble of getting the one off the Xbox Marketplace (I think that's what it's called), so I was going to buy the digital disc version (Xbox game disc) and play using that. I was wondering, though, if I would still be able to get updates and change my skin even if I used the disc version. I have Xbox Live Gold, so I'm able to get updates and other things as long as the Xbox will let me use the disc version.

The only place to download them is the Xbox marketplace and theirs no problem with that.

The disc version is only a means of running it, would be no different then any other disc game on Xbox, that all updates are downloaded and can be run all side a disc version, same as skins and texture packs.

Be aware that Xbox minecraft update is far behind the pc version and skins & texture packs (also texture packs are limited at the moment) are only available if you buy them off the xbox marketplace, unlike pc where you can download and use any at will.