AVIF? The war was lost when Apple set the default iPhone photo format to HEIF. You can't compete with that.
Apple has also shipped AVIF support in iOS 16 and Ventura, and AVIF-enabled Safari in the same.
HEIF support was never enabled in Safari. Still isn't.
There is no war. HEIF support was mostly a way to optimise storage on iPhones.
I don't see this changing either, most browser vendors are going to decide that AVIF is good enough and not pay to license the HEIF patents from the MPEG group.
ISOBMFF is also used for MPEG-4, AV1, etc. If nothing else, the world appears to have settled on a flexible, extensible container format that can support any future media formats we can come up with.