My counterpoint was/is that cutting plywood efficiently, needs a great deal of rigidity.
You are building a tool to cut 2.4 m sheets, of presumably some thickness like 12-15 mm++.
There is no doubt your design will work - to some extent.
But if your gantry bends 0.3 mm, theoretical, I think it might not handle carbide router bits efficiently in sizes 8 mm+ at efficient speeds.
So the cutting will progress at 4x slower speeds using 6 mm cutters, again 2x slower in MRR / work done.
== 8x slower work than it should be, for a semi-work advanced hobby design of some cost.
E:
Look at cutting times for 16 passes (4 shapes, back-forth), 2.4 M long sheets, say 4 m cut length (not rectangles nor artwork).
A single pass might take 12-15 minutes, say 192 minutes total.
This might be ok commercially, if the value you get from the sheet is high, you only need a few sheets per project, assy/design/finishing is the critical path etc.
But if You could increase the frame rigidity (linears),
drive rigidity (ballscrews),
spindle quality,
gantry rigidity (much bigger sections),
the 192 minutes of cut time should go down to about maybe 45 minutes.
(Still 2-5x slower than modern commercial routers at 700 ipm cut speeds at 40k rpm+--16 mins).
Biz (imho):
The router(cnc) commercial-guys sales pitch of cost/part in faster cycle times is mostly wrong.
Your goal here is right - so is the approach.
Do "something", do "better", for "your" market.
biz-case.
Even if you could cut the sheet in 1 minute using a uber-router (500k),
automated sheet loading/unloading,
unlimited power,
no issues with vast quantities of waste and dust,
unlimited space,
free materials racks (40k$),
and logistics equipment like stackers (4k$), cranes (10k$),
loading docks, etc.,
free financing for 200k in sheet goods,
free financing for the cnc uber tool,
You could/would probably sell more/less the same number of your products to your marketplace.
And selling other products to other customers, competing with those who already have all above, mostly paid off, is a fast way to ruin.
But..
If it costs You 40$ to make 1 sheet in 3.2 hours, just in your living allowance at half minimum wage,
then your bos or balance-system should be well profitable to make it reasonable, and very much depend on your needing to have total control of the process.
Otherwise, for 40$ you get your stuff cut in 30 mins at the other place.
And there may be a big value in clients seeing "your" industrial-sized cnc machines.
And slow may not matter if you do other stuff meanwhile.