The problem is, that somehow the Minutemen quests manage to be more annoying than other radiant quests. I certainly do not hate Preston - he is a nice guy and a good adjutant, which seems to be his role in the Minutemen organization.
But there are bugs even with the latest patch. For example there is a permanent kidnapping (for me in Sanctuary, but can happen elsewhere in other playthroughs), it is always the same settler and after resolving it (not hard, actually, but annoying) he is grateful - and is waiting for me again after several days. Preston seems to have nothing to do with it. There are still problems with radiant quests given by unnamed settlers like in my case. If you read the forum here and also in Reddit, many players have troubles with this, mostly of the silly kind - like traveling Provisioners have kidnapped friends (which makes it sometimes hard to hand the quest in), or settlers which were moved somehow and are now living elsewhere, and so on.
The title 'General' is an unlucky choice, the Minutemen are an army of volunteers and not a real army, they never were meant to be. They are modeled after the real historical Minutemen, and they received weapons from the government, but not uniforms. See here: https://en.wikipedia.org/wiki/Minutemen
So - the idea is great, but should have been more thought through. That the 'General' is not an absolute commander is clear from the organization. That his Charm and charisma plays a major role is also fine, since it would be the case in reality and in the game - he is more a politician.
But command in battle - which would be a task for any officer in the Minutemen - is not implemented in the game and not really possible. Also the Flare Gun you receive is something only an officer should have - you can call Minutemen - but it was not really well explained when given (its a privilege, actually) and it has no real meaning in the game. I tried it several times during settlement attacks. But they are over fast, and the Minutemen which arrive are ludicrously weak, since they seem to be not leveled. True to the historical Minutemen they carry laser muskets, which are not really strong later in the game, and they do not hit much with it.
So - the 'General' would be responsible for all the politics and responsible for the survival of his Minutemen, because if they die constantly he will loose all support. Yet - you cannot do this in the game, and loosing all your Minutemen you called with the Flare Gun does not have consequences either.
To make this idea working well and really add to the game, they should first fix the bugs and there are some. Constantly being buggered by ludicrous quests like these kidnappings will not endear the concept to the players. Also you should have much more influence to the equipment and training of your Minutemen.
Somehow the radiant quests from the BoS (find technical parts / cleanup locations) are much less boring and annoying: First, you can go and fetch one quest per visit, then you have to do it to get the next quest. You can elect to stay away for a while. The same goes with Railroad radiant quests. With the Minutemen they wanted a bit of 'urgency', as is in the nature of the quests, but that does not really work, it is just annoying. There is nor reason at all the the General must do them all himself. And the entire quest structure and frequency seems bugged to me, since there are too many quests given at once.
In my game now Preston is waiting for the order to attack the Castle, and I know he has at least one other settlement quest waiting. And despite me delaying this - a settler is used to annoy me. Either this is a bug, or the designer meant well, but did not really think or test this...
Which is a pity - because the idea that people start to organize themselves is a good idea and would work well in the game, even if new to Fallout.