Okay, I'm going to say it.
When you decided to use a standard-sized disc, you inherited the BC Curse.
Think about it - Sony has been plagued with "backwards compatibility" demands by PS1 owners since 1999, hoping to play their PS1 games on the PS2 since both were made by Sony. After Microsoft debuted the XBox 360 in 2005, it too suffered the same questions about backwards compatibility. And then, although confirmed, Nintendo also got the same treatment when it showcased the Wii U.
And this all happened for one reason - They all went to a disc.
If you blindfolded a person, and each laid one PS1, PS2, PS3, Xbox, Xbox 360, Wii, and Wii U disc in front of them, they would not tell the difference between any of them. He or she would luckily guess which is which because they, for the most part, all use the same physical shape of media - A disc with a hole in the center, all sized at the same radius. There's really nothing to set them apart, and as a result, many people would just assume that a disc that is meant to work with one console will also work in that console's successors. There's also the problem of knowing what works with which - How would one know if a game meant for one console doesn't work for another if they aren't familiar with the logos or names?
But you know what wasn't hit by BC demands? Solid-state media. ROM cartridges can be shaped to work in a specific console, and can be distinguishable from each other as a result. To look at modern solution, USB flash and SD cards in large sizes are really starting to become affordable, and perhaps by dropping the disc and going with a USB or SD-based cartridge, we can once again find ways to distinguish one game from another, and provide a automatic reason why one game won't work in another console, such as it not able to make contact with the pins or not even fitting properly into the slot. (Not to mention the faster access speeds and console hardware extensions, too.)