I think of lot of how you deal with line notes depends on the size of your team.
I tend to work with large teams, so one person is responsible for script and line notes (it makes sense, in my mind to bundle these). This also allows this person to deal with line notes they way they want to.
I don't care how the notes go out - most of the time.
One of the biggest benefits of typing and email is you have a record of the lines missed, and it can go to multiple people. (Oddly, I have had playwrights and directors wanting to be cc'ed on line notes being emailed out - partially because they are control freaks, partially to show them "Hey, Stage Management is doing their job, it's the actor who is not learning their lines. ", partially to track how often the actors is messing up the same line.)
If all things being equal and there are no special requests, I let the team member responsible for lines notes to be the one who figures out the best way to give them - I have helpful advice, but why micromanage. Now, if they are working 2-3 hours later in the day after rehearsal . . . then, well, we have a problem.