>>2719183high boots are good for off-trail, or poorly maintained trails
high boots are good for mud
high boots are good when you can't see the ground you're walking on (like at night, or when obscured by foliage)
high boots are good for walking steeply downhill
high boots generally dry slower
high boots are generally suited for colder weather
high boots prevent ingress of debris (including parasites)
sneakers are good for well-maintained trails
sneakers are good for walking steeply uphill
sneakers generally dry faster
sneakers are generally suited for warmer weather
sneakers permit the ingress of debris (again including parasites)
take all of that into consideration. also consider that there are many hybrid types of footwear. you can get 8 inch tall jungle boots with trail runner type soles (nike SFB, rocky s2v). you can wear ankle boots and augment them with gaiters. your weight and height also play a role. tall men have longer legs and a higher center of gravity, and so are more likely to favor tall boots. short men conversely tend to favor shorter boots, and shoes. some people have defective ankles and "roll" them all the time - and they need to wear tall boots.
nobody can tell you what is right for you. only you know that. open google earth and enable photos. look at pictures near your route. read accounts online.