I doubt it, the C-47s speed advantage will make it the favorite for troop movement. Look at the SDK vs M3 in usage, M3 is staple do to speed. Maybe the first month or two it would be used, but after that it will probably be left in the stable next to the SDK.
C-47
General characteristics
Crew: 4 (Pilot, Co-Pilot, Navigator, Radio Operator)
Capacity: 28 troops
Payload: 6,000 lb (2,700 kg)
Length: 63 ft 9 in (19.43 m)
Wingspan: 95 ft 6 in (29.41 m)
Height: 17 ft 0 in (5.18 m)
Wing area: 987 ft² (91.70 m²)
Empty weight: 18,135 lb (8,226 kg)
Loaded weight: 26,000 lb (11,793 kg)
Max. takeoff weight: 31,000 lb (14,061 kg)
Powerplant: 2 × Pratt & Whitney R-1830-90C Twin Wasp 14-cylinder radial engines, 1,200 hp (895 kW) each
Performance
Maximum speed: 224 mph (195 kn, 360 km/h) at 10,000 ft (3,050 m)
Cruise speed: 160 mph (139 kn, 257 km/h)
Range: 1,600 mi (1,391 nmi, 2,575 km)
Ferry range: 3,600 mi (3,130 nmi, 5,795 km)
Service ceiling: 26,400 ft (8,045 m)
Climb to 10,000 ft (3,050 m): 9.5 min
JU-52
Data from Jane’s Fighting Aircraft of World War II
General characteristics
Crew: 3 (two pilots, radio operator)
Capacity: 18 troops or 12 litter patients
Length: 18.90 m (62 ft 0 in)
Wingspan: 29.25 m (95 ft 10 in)
Height: 4.5 m (14 ft 10 in)
Wing area: 110.5 m² (1,190 ft²)
Empty weight: 6,510 kg (14,325 lb)
Loaded weight: 9,200 kg (20,270 lb)
Max. takeoff weight: 10,990 kg (24,200 lb)
Powerplant: 3 × BMW 132T radial engines, 533 kW (715 hp)[33] each
Performance
Maximum speed: 265 km/h (165 mph) at sea level
Cruise speed: 211 km/h (132 mph)
Range: 870 km (540 mi)
Service ceiling: 5,490 m (18,000 ft)
Rate of climb: 17 minutes to 3,050 m (10,000 ft)
Armament
Guns: * 1 × 13 mm (.51 in) MG 131 machine gun in a dorsal position
2 × 7.92 mm (.312 in) MG 15 machine guns