I suspect so... But there may be a historical reason...
In reality they seem to have replaced the Vickers MMGs or converted one Troop to Vickers K-Guns in an effort to provide a more fast moving fire support unit. They were not very effective due to their very high rates of fire and the ammunition expenditure was too much for the three man team to lug enough around to be of much use. They seemed to have dropped out of use soon after the initial days of fighting and been replaced with Vickers MMGs at some point.
No.4 Commando converted a single troop to a K-Gun troop with 8 K-Guns and 24 men in the troop (the French converted troop having only 4). All were loaded tracer heavy as the Commandos felt that tracer intimidated the enemy more.
Now No. 6 Commando also had K-Guns, but they may have allocated them to the support Sub-Sections (see below) rather than a single converted troop, but we cant be completely certain on that. Being Commandos these units had a high degree of flexibility in how they wanted to form and deploy equipment and of course little direct documentation exists on their exact organisation as it was adapted and improvised as seen fit. Anecdotally though the possibility exits that No. 6 Commando may have allocated their K-Guns into the troop sub-sections.
Just to add more... No 3. Commando doubled its allocation of Bren Guns for the landings to two per section. As you can see, it varied by unit to unit. No. 3 dont seemed to have used K-Guns and retained the Vickers MMGs in the Heavy Weapons Troop.
The K-Gun issues on D-Day were exasperated by lack of ammo mainly. Most troopers carried spare K-Gun mags in their rucksacks, the idea being to give it to the teams when needed, however alot of commandos dumped their rucksacks not long after landing to reduce weight and move faster.
A 13th/18th Hussars
DD tanks with No. 4 Commando heading towards Quistreham;
Every unit varied a little, but basically...
RM Commando Troop 1944
TP
HQ
Captain-pistol
1 or 2 LT-rifles
TSM-rifle
The Assault, Support and No.2 Sub Sections 27 all ranks made a Section with two Sections per Troop.
Assault Sub Section
SGT -Thompson
Rifle Group: CPL-Thompson, 5 Riflemen-rifles
Bren Group: Cpl-rifle, Gunner-BREN, 2 riflemen-rifles.
Support Sub Section
Cpl-Thompson, L/CPL-rifle, Mortarman-2inch Mortar,pistol, No.2-rifle, Sniper-Sniper Rifle.
No.2 SubSection
As Assault Sub Section but 18kg of explosives also carried.
Note: 1 Rifleman in the Assault Sub Section may be equipped with a Flamethrower.
Heavy Weapons Troops (2 Officers and 37 men)
Troop
HQ (2 Officers, 4 men)
3-inch Mortar Section (17 men)
Medium Machine Gun Section (16 men)