If we were talking about a volunteer coach, a grad assistant, or even assistant/event specialty coach I could be on the same page. This goes on with the head coach (who is also the mid-d and distance coach), for every workout, every run, and the majority of the races throughout both the XC and T/F seasons.
When he's working out with only his stellar 5k/10k runners on the track what benefit is he providing to his 5k/10k guys in a different pack? What about the 800/1500 guys that are doing a workout? What about the girls team altogether? He's providing "coaching" to, if we're lucky, a handful of guys during the workout--everyone else is given their session for the day and is on their own for pacing, gate analysis, in-workout decisions, and keeping splits.
Let's give this coach benefit of the doubt and say he needs a recovery day, he jogs the 6 mile run with the girls team; and he needs a speed session so he joins the 800 guys one day. That's great, but each day he's entirely missing training a large percentage of all mid-distance and distance male and female runners on the team.
To hit your points...
1. You're right, but again, he's the head coach and should be managing time with ALL areas and delegating personnel to manage all athletes accordingly. This coach's focus is on one segment only, and without even delegating others to do his job let alone balance managing all of the athletes.
2. To stay to your point of races...what about the guys in the race he's "pacing" that fall off pace? What about the guys on the team in the same race that are set to run a different pace? What about when the head coach decides to run alone altogether for the win or PR? Are any of those athletes entitled to having a coach during the race also?
3. With respect to racing, yes, I agree. But this is EVERY open meet the coach can run, he runs. This is when there is plenty of a known field to be at the meet for his runners to pace with and run against. And again, at what point would that fall on the coach for selecting a poor meet schedule for his athletes that season?
4. See how they're on the sidelines, watching, involved in the game? And by the coach being on the sideline he's available for the game AND the individual, as opposed to being at the bench with the individual when the play is on the field?
5. I completely agree with all of that. I completely agree with the idea of having a veteran runner, alumni teammate, etc train/race with the team and be available as a training partner/pacer where ever necessary (ie. grad asst, volunteer coach). They can talk to the runners during the workout/race, give on the fly advice. But the head coach is there to coach and to manage the team. And by being on the track he's not available for anyone else but who is running behind him, and he can't manage anything.