The difference, by the numbers
Both have Maraschino liqueur and lemon juice. Only the Brandy Crusta has Cognac, orange curaçao, simple syrup and Angostura bitters; only the Casino has Old Tom gin and orange bitters. In parts, a Brandy Crusta is 3½ brandy, ½ Maraschino, ¼ Curaçao, 1 lemon and ¼ syrup; a Casino is 4 gin, 1 Maraschino and 1 lemon. By volume, the Brandy Crusta is 62% spirit, 17% citrus, 15% liqueur and 6% syrup and sugar; the Casino is 67% spirit, 17% liqueur and 16% citrus. That makes them close cousins on the ratio map.
The Brandy Crusta is the stronger drink in the glass (20.7% ABV against 18.4%) and holds more alcohol (1.47 standard drinks against 1.12). The Brandy Crusta has more calories (about 171 against 122) and more sugar (6.3 g against 2.8 g). The Brandy Crusta is stirred and served in a coupe; the Casino is shaken and served in a rocks glass.