No, the B-24 and B-17 differ in performance and capability significantly more than the Halifax and Lancaster. The biggest difference between the Halifax and Lancaster is that the Lancaster's bomb bay could take physically larger bombs. In reality, which would not affect AH, crew had about a 30% better chance of bailing out of a stricken Halifax than they did out of a stricken Lancaster, but in compensation the Lancaster seems to have been tougher as it had about a 30% lower loss per sortie rate.
Bombloads:
Lancaster: 14,000lbs
Halifax: 13,500lbs
Top speed:
Lancaster: 282mph
Halifax: 282mph
Ceiling:
Lancaster: ~25,000ft
Halifax: ~25,000ft
Armament:
Lancaster: eight .303s, two in nose, two in dorsal, four in tail or four .303s and two .50s with the .50s replacing the four .303s in the tail
Halifax: eight .303s, two in nose, two in dorsal, four in tail
They are as close to the same aircraft as one can expect to get when the two aircraft are designed to the same specification, Air Ministry Specification P.13/36, by completely different design teams at different companies and using different engines.