I see this commonly in different business and medical applications where information may need to be accessible for years or decades after creation. There is a pretty even mix of TIFF and PDF/A in these environments and because of the legal liabilities I don't see them being displaced.
This format isn't complete yet, if layering is important to you, you should join the gitter.im/FLIF-hub/FLIF chat room.
Why do I care about having a "dot flif" file when the new codec is the important improvement?
Is '*.flif' actually a good thing?
Personally I don't think so, mainly because without a mechanism to drive adoption in browsers, the format offers very little value to anyone over existing formats. TIFF would be a decent solution to that problem. ... And the fact that FireFox has marked TIFF support as WONTFIX is actually pretty indicative of how unlikely they are to support a new format such as FLIF. Sad but true. From what I already see of the FireFox support thread for FLIF, its not going to happen any time soon.