The analysis checkbox only controls black bar detection, as the naming of the option should reflect, unless I missed it somewhere. Other metadata is always extracted (dimensions, fps, audio info, and all that), as it should only take a relatively short time. This has always been the case, the amount of data it reads has just been expanded.
Although for Blu-ray discs in particular its still slightly inefficient because it opens it first with DirectShow to get the basic metadata of the entire main title through LAV, and then re-opens a single clip with the new analysis for the other metadata. We should unify this at some point, which should speed it up, but currently its limited because the cross-platform video engine doesn't support Blu-rays. Judging from your log excerpt, most of the time is in the old DirectShow part (which hasn't changed for quite a while), because the extended analysis (the new part) only seems to take 54 milliseconds, while AnalyzeFileDX took 31 seconds.