Another Ger/CB/1937 15in Battlecruiser design study

This design study was underspecified, so I thought I would see if I could obtain a faster ship (30 knots) by using battlecruiser principles. The protection is substantial, but less than some battleships. The armor basis is 13in. The dimensions are 814ft x 108ft x 30ft. I often use these dimensions because I think of them as being Vanguard-like. The corresponding normal displacement is 41,519 tons. The armament is 9-15in/45 BLR and 24-5in DP guns. I added a light AA armament, to be more realistic. This is the Springsharp report:

Ger/CB/1937 15in, Germany Battlecruiser laid down 1937

Displacement:
 37,374 t light; 39,016 t standard; 41,444 t normal; 43,387 t full load

Dimensions: Length overall / water x beam x draught
 818.10 ft / 814.00 ft x 108.00 ft x 30.00 ft (normal load)
 249.36 m / 248.11 m x 32.92 m  x 9.14 m

Armament:
      9 - 15.00" / 381 mm guns (3x3 guns), 1,687.50lbs / 765.44kg shells, 1937 Model
   Breech loading guns in turrets (on barbettes)
   on centreline ends, majority forward, 1 raised mount - superfiring
      12 - 5.00" / 127 mm guns in single mounts, 62.50lbs / 28.35kg shells, 1937 Model
   Dual purpose guns in turrets (on barbettes)
   on side, all amidships
      56 - 1.46" / 37.0 mm guns (5 mounts), 1.55lbs / 0.70kg shells, 1937 Model
   Anti-aircraft guns in deck mounts 
   on side, evenly spread, 42 raised guns
      32 - 0.79" / 20.0 mm guns (4x8 guns), 0.24lbs / 0.11kg shells, 1937 Model
   Breech loading guns in deck mounts 
   on side, evenly spread
 Weight of broadside 16,032 lbs / 7,272 kg
 Shells per gun, main battery: 90

Armour:
   - Belts:  Width (max) Length (avg)  Height (avg)
 Main: 13.0" / 330 mm 550.00 ft / 167.64 m 17.00 ft / 5.18 m
 Ends: Unarmoured
   Main Belt covers 104 % of normal length

   - Torpedo Bulkhead:
  2.00" / 51 mm 550.00 ft / 167.64 m 29.00 ft / 8.84 m

   - Gun armour: Face (max) Other gunhouse (avg) Barbette/hoist (max)
 Main: 13.0" / 330 mm 9.00" / 229 mm  13.0" / 330 mm
 2nd: 5.00" / 127 mm 5.00" / 127 mm  5.00" / 127 mm

   - Armour deck: 4.00" / 102 mm, Conning tower: 13.00" / 330 mm

Machinery:
 Oil fired boilers, steam turbines, 
 Geared drive, 4 shafts, 147,911 shp / 110,341 Kw = 30.00 kts
 Range 8,250nm at 15.00 kts
 Bunker at max displacement = 4,371 tons

Complement:
 1,452 - 1,888

Cost:
 £19.448 million / $77.790 million

Distribution of weights at normal displacement:
 Armament: 2,004 tons, 4.8 %
 Armour: 14,585 tons, 35.2 %
    - Belts: 5,170 tons, 12.5 %
    - Torpedo bulkhead: 1,180 tons, 2.8 %
    - Armament: 3,359 tons, 8.1 %
    - Armour Deck: 4,540 tons, 11.0 %
    - Conning Tower: 335 tons, 0.8 %
 Machinery: 4,100 tons, 9.9 %
 Hull, fittings & equipment: 16,685 tons, 40.3 %
 Fuel, ammunition & stores: 4,070 tons, 9.8 %
 Miscellaneous weights: 0 tons, 0.0 %

Overall survivability and seakeeping ability:
 Survivability (Non-critical penetrating hits needed to sink ship):
   61,472 lbs / 27,883 Kg = 36.4 x 15.0 " / 381 mm shells or 9.9 torpedoes
 Stability (Unstable if below 1.00): 1.17
 Metacentric height 7.5 ft / 2.3 m
 Roll period: 16.6 seconds
 Steadiness - As gun platform (Average = 50 %): 55 %
   - Recoil effect (Restricted arc if above 1.00): 0.47
 Seaboat quality  (Average = 1.00): 1.10

Hull form characteristics:
 Hull has a flush deck
 Block coefficient: 0.550
 Length to Beam Ratio: 7.54 : 1
 'Natural speed' for length: 28.53 kts
 Power going to wave formation at top speed: 50 %
 Trim (Max stability = 0, Max steadiness = 100): 50
 Bow angle (Positive = bow angles forward): 4.00 degrees
 Stern overhang: 2.00 ft / 0.61 m
 Freeboard (% = measuring location as a percentage of overall length):
    - Stem:  30.00 ft / 9.14 m
    - Forecastle (20 %): 21.00 ft / 6.40 m
    - Mid (50 %):  21.00 ft / 6.40 m
    - Quarterdeck (15 %): 21.00 ft / 6.40 m
    - Stern:  21.00 ft / 6.40 m
    - Average freeboard: 21.72 ft / 6.62 m
 Ship tends to be wet forward

Ship space, strength and comments:
 Space - Hull below water (magazines/engines, low = better): 84.3 %
  - Above water (accommodation/working, high = better): 169.0 %
 Waterplane Area: 61,353 Square feet or 5,700 Square metres
 Displacement factor (Displacement / loading): 107 %
 Structure weight / hull surface area: 200 lbs/sq ft or 978 Kg/sq metre
 Hull strength (Relative):
  - Cross-sectional: 0.99
  - Longitudinal: 1.10
  - Overall: 1.00
 Hull space for machinery, storage, compartmentation is adequate
 Room for accommodation and workspaces is excellent