"...I really do not think these troubles have been any worse than they were on, say, the Spitfire."
Fracture of hydraulic pipes.
Yeah, Petter had a fixation with hydraulic systems, he even used Exactor hydraulics for the throttles instead of conventional cables. When they worked they worked, but it does seem a bit of over-engineering.
Dowding was right in that Westland and 263 Sq had not had sufficient time to develop the aircraft by the BoB, but that ignores the fact both the Hurricane and Spitfire had longer squadron development before the BoB, and both had many issues ironed out before combat, so singling out the Whirlwind as particularly bad is untrue. Hawkers was considered the Air Ministry's most experienced supplier, and one of the reasons the staid Hurricane was ordered in such large numbers was because of the suspicion that Supermarine might not be able to deliver the advanced Spitfire in numbers to an adequate level of operational reliability. Westland was a tiny firm by comparison, so it's not surprising they got short shrift.
The Whirlwind wasn't alone in having problems with pipes leaking, the Spitfire being notorious for the pipes installed for the heating air to the wing guns being prone to leaks, fractures, and even falling right out of the wings! The original Spitfire MkIa aircraft delivered didn't have
any gun heating, and it wasn't until RAF operational flights took the aircraft over 15,000ft that the RAF realised that meant all the guns froze up! Thankfully, the early combats for home-based Spitfires were all low down as the heating fix wasn't in place until early 1940.
RAF fighters like the Hurricane and Spitfire also had bottles (metal cylinders) of carbolic gas as a back up system for their landing gear because pipe leakages frequently meant the landing gear wouldn't extend fully and lock. The Spitfire MkI's wings were modified to have a little metal flag that projected upwards when the undercarriage was down and locked, giving the pilot a visual indicator necessary because the cockpit indicators were electrical lights which also often failed to work correctly. Pierre Clostermann's
Le Grand Cirque has a vivid description of belly-landing a Spitfire at night after both the regular and carbolic systems failed due to leaks, and that was mid-War!
Another example of early teething issues was with the Hurricane, which had originally come with a retractable tailwheel, but bad spin recovery behaviour meant that Hawkers had to put a small ridge-like fin on the underside of the fuselage exactly where the tailwheel was, leading to the fixed tailwheel. This is a pic of the prototype Hurricane with retractable tailwheel (and braced tailplane):