Maybe it's changed in the last hour or two, but for me it does indicate when ligatures are present -- in the list on the lest, under the name of each font there's a line giving name, date, and some features -- one of which is "ligatures".

Fonts with ligatures are indicated as such, but I’ve yet to add all the other metadata. I do have the data, just need ideas on how to surface it in the UI with too much clutter. I also have to add search, keyboard navigation, etc. I’ll probably have things to do here well beyond retirement ;)

So there is. Not sure if I missed that earlier or if ligatures have been added since. I remember seeing sans/serif/bitmap there but not ligatures.