Of course you can, HMGs are mostly designed to be 'inaccurate', in that they saturate a decent sized area with rounds, rather than a small patch. This is how you suppress a large area, quickly and easily.
Much of the time this is being done at very large ranges, you mostly cant even see the enemy, there is no 'target' to direct accurate fire towards. Your target will be something like a corner of some woods, or an area of a hill, or even some dead ground you cannot see.
A HMG which randomly places rounds all over that area and quickly, is going to keep the heads down of any enemy much more than a weapon placing rounds in a more predictable pattern.. thats why it can be true, and relevant, to say a weapon is too accurate.
What you are saying all sounds good, except that it isn’t factual. That is not how machine gunnery works in theory or in practice.
What you are describing is the relationship between the beaten zone, which is the area that a machine gun’s rounds will impact in at a given range, and searching and traversing fire. Searching fire is when you move the gun up and down to move the beaten zone farther away or closer and traversing fire is where you move the gun side to side to move the beaten zone side to side. The part you’re missing is that there is also a thing called grazing fire, which is two things. It is the range that a round will likely hit a standing man on flat ground if the shot is fired straight at him. For most machine guns this is about 1000 yards/meters. It is also the minimum range at which you can attempt to establish a beaten zone, because closer than that your rounds aren’t falling enough to make a pattern that needs to be adjusted like that.
You also fail to mention the tripod usage for this, which must be sandbagged in place in order to gain maximum accuracy in the gun, because it’s done at such long ranges that the gun needs to be as stable as possible. Using the tripod you have a T and E system, for traversing and elevating the gun. It’s a system of little wheels for making very precise changes to where the gun is aimed, also known as the “lay” of the gun.
All WWII and newer machine guns shoot about a 2-3 minute of angle group, which is about 2-3 inches at 100 yards or 20-30 inches at 1000 yards, including the BREN gun and the MG42. Both are quite accurate guns mechanically.
You take advantage of the accuracy of the gun off of the tripod to move the relatively small beaten zone around a much larger target area by firing a burst, then adjusting the T&E then firing another burst then repeating. By remembering your adjustments you can crest a very large pattern that is controlled yet also unpredictable to the enemy. This allows you to give long range supporting fires over the top or next to friendly units. An inaccurate gun could not do this safely.
Accurate machine guns are better machine guns and the BREN is no exception to this.
I have professional training with the use of machine guns. This isn’t my opinion on how to use them it’s just how they are used.
Please don’t consider this to be a personal attack, it’s not. I’m just trying to share my personal, firsthand knowledge in a place where I think there is a lot of misunderstanding of infantry weapons and firearms in general. We are all friends here.