For me, it's helpful to track actor entrances and exits- you can use that tracking to give you information for where/when prop handoffs, costume changes, etc happen, and how long you have for them. It can also be useful when you're running a backstage track to know who/how many actors should be entering. If you know you need 5 soldiers for an entrance and you only have 2 standing by, you know to start looking for them.
Similarly, if you have a notation that the actor needs a spear for their entrance, and they don't have one when they are standing by, you know to grab it for them. If there's a prop "catch" backstage, or a prop that needs to be tracked from SR to SL, that should definitely go on the runlist. (Also, when you're trying to track down a missing prop, knowing when it last came offstage can be really helpful.) I find it's just as easy to track the props as not, so I include them with the entrances and exits.
If you have a complicated show and there's a lot going on in the runlist, you could always include entrance/exit info, and the crew person can highlight the lines of the runsheet that they have an "action" on, like a quickchange. That way the info is there, but they can glance to the highlighted lines for their next action.
I think that having the information there is especially helpful if you have someone subbing in, if your crew person is out sick for instance. The sub might not know when/where entrances happen, but they can refer to the runsheet.