Yes, for photographs. This shouldn't be surprising.
Note that the FLIF home page doesn't even claim that FLIF is superior to normal JPEG images... it only claims that it's superior to other lossless formats. For lossless formats, you can compare your desired metric (e.g. file size) for your corpus. For lossy formats, you can either fix subjective quality and compare size, or fix size and compare subjective quality. (Or compare some other metric, but these two are more common.)
These are completely different ways of evaluating compression algorithms, and it intuitively makes sense that different algorithms will be better if you evaluate them differently.
Consider that FLAC gives the best bitrate for lossless audio, but Opus gives a far better bitrate when you fix the subjective quality or a better quality when you fix the bitrate at reasonable rates.
Or consider that there is a wide spectrum of data compression algorithms, each of which performs the best depending on how you assign weight to compression speed, decompression speed, and compression ratio, and what is in your corpus. There is a surprising variety of new compression algorithms out there, some of which may be the best for your use case even though their compression ratios are significantly worse than other well-known algorithms (LZ4, LZFSE, Snappy, for example).
JPEG is designed for best quality at reduced bit rates, so it should not be surprising that it is good at doing that, even though it is old and newer algorithms are better.