Do settlements even matter?
I've been spending a lot of time gathering resources and hauling them back to my base. The novelty of building things has worn off and I'm not having fun doing it anymore.
Does it actually matter if I build and protect my settlement? Are there any major story points (or quests that become available) by doing so after the initial base building tutorial missions? Is this an aspect of gameplay I can pretty much ignore?
Solution 1:
No
You don't have to look after that beyond the first few missions for the Minutemen (you don't even have to do these, if you don't want to). The first few missions for Preston and Sturges will have you setting up power, water and food in Sanctuary and from there onwards settlements can be largely ignored and depending on how you play the game. There are spoilers below. I'm not marking them up and you have been warned.
But...
You'll get Sanctuary early on and meet up with Preston at Concord and this will fully establish a settlement with people in it. This settlement is the primary base of the Minutemen and will remain as such unless you progress the Minutemen quest line and retake the Castle, at which point this becomes the primary Minutemen settlement but the original survivors will remain in Sanctuary.
In addition to these two settlements, if you continue with the Minutemen you will frequently find yourself in a position where Preston wants to expand by helping another settlement, which will then join your cause and potentially get attacked, prompting you for assistance (which you can ignore if you don't mind them dying or if that settlement is properly secured).
If you do not progress the Minutemen quest line and instead go with the Institute, you won't end up getting any additional settlements throughout the game.
If you follow the Railroad, they'll ask you to take a settlement as their new safehouse after one of their existing safehouses is destroyed by the Institute. This settlement doesn't need a broadcast tower as part of the mission and therefore won't generate a population of settlers that need looking after.
If you follow the Brotherhood of Steel, the airport ends up becoming one of your settlements during their quest line.
The additional settlement (or in the instance of the Minutemen, a settlement of your choosing) is required in order to build the Signal Interceptor which is used to infiltrate the Institute later in the game.
Solution 2:
Once you get a settlement established it is a good source of income also nice to have a safe place to stay in. Also if you build a few scavenger benches and assign people to them they will start bringing in resources even rare things like nuclear materials so if you have several of them it makes future construction much easier. Another thing to be noted some people claim (hasn't been confirmed yet) that if you flag build items and recipes in their respective menus that the salvage will start to skew towards the items needed to create it so might be worth flagging a bunch of stuff that you want in the future then go do other things for a while and come back just to test it at least. New resources will be in the settlements inventory so just go look through it after you have been gone for a while.
Of course you can choose to ignore it if you wish they even stated its not required for the game. Just hope my answer might make the settlement mechanic more enjoyable