The main difference between the two clubs is the size of the City of Wakefield and the town of Batley and has nothing to do with aspirations (vocal or otherwise). And you are right, Trinity may well be a major force in RL again and most old supporters would welcome that. However, and somewhat tongue in cheek, I must tell you that Batley have only won one Championship less than the mighty Trinity and two Challenge Cup victories less than the "grand old club".
As to Mount Pleasant, it is a ground of similar age to Belle Vue, it just doesn't look it! Mount Pleasant's slope does surprise those with poor knowledge of Rugby League but it adds character to our historic club and welcome diversity to the game.
Finally, before this gets too silly, I must confirm that your Dad probably was bigger than my Dad.