1. What you have posted are the penetration datas of the 11"/52 gun of the Panzerschiffe.
SH and GS had the 11"/54 gun with 330 kg shell weight and the L 4.4 shell.
This is a very big difference.
The 11"/54 is credited to penetrate after GDokus something about 11 inch at 20000yards at right angle. Even after Facehard from Nathan Okun (which I didn't trust), this gun is credited for 10.5 effective limit against British WW2 facehardened armour at right angle.
If Thorsten will read this he can post the exact datas for 30 deg after GDokus for the 11"/54.
But for sure Renown will not have any immunity zone under 18000-19000yards.
2.
Only SH had continous problems, Gneisenaus machinary was much more reliable.Ark Royal only added two 8 barrelled pom-poms during her time in service - no radars were ever fitted. She was last docked in Nov 1940, but AFAIK her machinery was in good shape, however S&G had machinery problems constantly - every time they tried to use overload power.
3.
This issues were solved after the atlantic bow and and adding wave breaker ad Brest.Renown was outrun at Stromvaer because she suffered damage to her forward bulge, which had partially torn away in the heavy seas, and because she couldn't obtain ranges for her forward armament at such high speeds in the prevailing seas, so there was no point in trying for more speed. OTOH both S&G lost all their forward armament due to flooding. If they had found Glorious, in heavy seas, they probably wouldn't have been able to pursue her anyways, since they wouldn't be able to work their forward guns.
S and G had no problems at heavy weather to use their whole arnament after 1941.
4.
You should explain how SH could manage to run away 10000-12000yards in 1 and a half our from DoY in a force 9. DoY is credited with 29kn at overload.32 knots for S&G is fantasy
So how could SH as smaler ship with a slight disadvantage in heavy weathe manage this, with only 1kn difference in speed after your claim/assumption?
Also Renown was clearly out run at Norway from SH and GS and both had not the new bows and other modification.
I think many of your claims are wrong and your penetration data to the gun and shell of SH/GS are totaly wrong!
5.
As I pointed out, you are refering to the wrong gun, but at your claim is also one major failure, the scarfs had a very steep angle of 60 degrees and were only 60mm, that's nothing more then splinter protection, every shell that will punch through the main belt will go to such a thin scarf, which is also very bad laid back.broken shells will be rejected by her scarf armour. Both the belt and scarf armour are backed by about 1in of HT steel. Here's the scarf (main deck slope thickness's: main deck (slope) : 4inch (2inch NCD + 1inch HT + 1 inch HT) over magazines, 3 inch and 1inch (1+1+1 or 1 inch HT) over machinery. So Renown was practically immune from the 28cm gun, through her main belt, at 30 deg target inclination.