You can blame the government at least partly.
To a point. The specification offers parameters, it doesn't stipulate design cues. N.11/40 did stipulate the use of the Sabre in a power egg arrangement. Blackburn was solely responsible for the design and structural elements of the Firebrand. The only competitor was the Hawker P.1009 Sea Typhoon, which would have been problematic too based on the work required on the Typhoon as it happened, with detachable rear fuselage and high ingress of carbon monoxide into the cockpit, to say nothing of the issues with the Sabre, which, to be fair were not fully understood at the time the specification was written.
So, do we think Petter seconded to Blackburn in 1936 can help the Skua?
Not by much, design is almost certainly completed that year and the aircraft is well on the way to receiving a production contract, which took place in 1936. If you want Petter to go in, get him in sooner to aid in design cues. He could have made it smaller for starters, but whatever the choices he makes, they'd be advanced. Whether they'd be practicable or not in the real world remains to be seen, he was definitely a thinker, but if the Whirlwind is anything to go by he would overthink things. However, the Lysander was an entirely conventional aircraft, which means he could have gone down that route...