[yencabulator]

Apple has a track record of doing that: product names that are only unique if you keep repeating the "Apple" prefix.

Apple Card

Apple Pay

Apple Music

Apple TV

Apple Watch

App Store (trying to namesquat this is just evil, so it's "Apple App Store" for me)

Hence, I recommend you call it "Apple Container", and "Apple Containerization".

[juliendorra]

Microsoft did it too with Windows and Words (supposedly after a very messy trademark dispute around excel? If I remember well?). This avoids trademark dispute on names (as you can’t trademark generic name alone) and is an effective way for very recognizable brands to extend their branding without adding too much confusion