This is really strange as we have the same issue.
Here’s what we have done so far:-
Checked fuel tank is venting.
Fuel drained and replaced with new fuel.
All pipes replaced with correct diameter hosing.
Pumped Fuel volume checked and fine.
Fuel Filter changed
Fuel Pump Changed
Carbs refurbished, new floats, seals, gaskets etc.
New carb inlet rubbers fitted
Air filters cleaned and oiled (not excessively)
Fuel cross flow pipe junction fitting replaced.
Fuel pressure is good and well within prescribed limits.
Carbs Balanced
Engine runs fine on each mag.
Aircraft chocked and run at varying rpm for 15 minutes.
Engine coughs lasts only a second or two at most then continues to run smoothly.
Any further suggestion will be very much appreciated.?