Most of what I have heard is anecdotal but is also fairly consistent with my experience: people have fewer ankle problems in trail runners than they do in boots. There is something about boots that adds leverage to a turned ankle.

I don't think that boots are preferable to shoes for long hikes or with heavy packs.

I started using running shoes on mountaineering approach hikes in the early 70's. A lot of this was with a heavy pack full of climbing gear. I never turned my ankles or had any other issues related to "lack of proper support".

I've hiked the JMT three times; the first time in 1954 wearing Keds Hightops and again in 2008 and 2014 wearing trail runners. No ankle issues.

The only time I consider boots is if cold, wet weather and/or serious off-trail walking is a potential issue otherwise it is running shoes all the way.