Maybe, maybe not...not saying every man needs a belt fed weapon, but if they did go down that route it would be helpful.
Indeed, never said otherwise, just spitballing off the tangent in an earlier comment.
That is all true if they opted to keep that arrangement. I think there was merit in Lionel Wigram's suggestion to separate out the Bren from the squad to make it a platoon support weapon due to the tendency for it to lag behind riflemen (something that will get worse with an even lighter rifle in the hands of the riflemen) due to the weight of the weapon and ammo, while it's longer range will actually be able to be taken advantage of it if engages from a longer distance as part of a concentrated pool of firepower under the platoon leader, who can then direct it as needed in support of platoon operations. The Bren's virtues are rather wasted at the short range the rifle squad would be operating at, which is why something like the shorter ranged belt fed SAW I mentioned would be helpful at the squad level.
The Russians are very good at the whole machine gun design thing - my only issue is getting it developed - getting it accepted, in production and available in large numbers - I appreciate that we are making a leap getting the Carbine to replace the No4 but it was at least designed and in production.
As for the BREN gun - the POD is basically not putting the No4 into mass production and instead building M1 carbines (instead of it and the STEN) and leveraging US production to equip 21st Army group in tiem for D-Day.
Now the BREN works and the British are geared up across the board to support it at Squad and Platoon level.
Refilling the Magazines and carrying most of them was a Squad job.
But to your point - I did see a video of a Royal Marine Patrol in Afghanistan a few years back where the Platoon commander (with 20 men) had organised his unit into 4 x 4 man rifle/rifle+GL fire teams and 1 x 4 man Minimi team (4 x 4 Minimis) which he kept direct control over.
So I would envisage a sort of varying unit where the organisation is as per 'OTL' except the Carbine instead of the No4 and Sten gun.
But when advancing to contact etc the Platoons 3 gun teams form a 4th Section of 9 men with 3 Bren guns under direct control of the Platoon Commander with the 3 sections becoming 3 x 7 man sections
My next issue is that a Section 2IC who acts as the Gun team commander is also responsible for keeping tabs on the ammunition in said section and letting both his section commander and ultimately the platoon Sgt know (who will keep the platoon commander aware of each units ammo status)
He is also responsible for Casualty care among the Section and makes sure any wounded is passed back to the platoon Sgt who in turn ensure said poor bugger is taken back to the company aid post and back up the chain.
Now this is not insurmountable - you would simply use the 'next senior private' and have him do that job in the 'Rifle team'
When the unit is not 'advancing' or the Sections are somewhat more dispersed or dug in the Bren teams rejoin the rifle section and come back under the command of the Section Leader.
Now who is overthinking it :')