Prisms don't have infinite eye relief and some have very tight eyeboxes. This means that they are not as versatile in some ways, but I don't find that to be a hassle since I trained with iron sights and you have to be consistent to use irons correctly.
Prisms typically also have diopter adjustment so you can set it for your eye. This is a huge advantage, too since if you set that well and get a consistent sight picture, you'll get a very clean dot/reticle that you just can't get with dot sights if you have an astigmatism. This means your point of aim is much more consistent.
Having an etched reticle also means that it's still useful if the battery goes dead or electronics fry.
A 1x prism is heavier than a dot sight, but the newest designs are pretty effing light and very durable, in some cases much more so than dot sights.
I tend to prefer a chevron to a dot for aiming, and most of my top picks for prisms have a chevron or arrow.