I'm in the same boat, Stu. I've been researching the issue for some time and think that a variable-power scope would serve better than a simple red-dot that doesn't have magnification capabilities.
My carbine is for home-defense and an EOTech would more than suffice for the distances I need to cover in the house. However, when shooting at longer ranges, like a feral dog/cat in the backyard, a magnified optic, with crosshairs, really pays off.
From what I can gather, a 1x4 scope can work just as well as an EOTech or Aimpoint as short CQB ranges. But, an EOTech or Aimpoint doesn't do so well at longer ranges because it only has a dot and no hold-overs or ranging hashmarks. Yea, you can practice a lot and get really good at estimating the windage and elevation for those long shots, but....
Keep in mind that this is just my thinking from doing research these last few months.