The 4582 is handed because the latch pocket is not centered on strike plate. the 4582 can not be rehanded in the field.
The 4582 can be used with a Von Duprin 7500 Mortise Lock as long as the strike is ordered with the T1 Tripper and in the opposite handing of the door (see image below) since the Auxiliary Bolt is located below the Main Latchbolt..
References;
Von Duprin 4582 Monitor Strike for Mortise Locks with Auxiliary Bolt Below Latch Bolt Installation Instructions
When the Auxiliary Bolt is Above the Main Latchbolt, use Von Duprin 4582 Monitor Strike Metal Frame Application Template (1 of 2) and page 1 of the 4582 Installation Instructions.
When the Auxiliary Bolt is Below the Main Latchbolt, use Von Duprin 4582 Monitor Strike Metal Frame Application Template and page 2 of the 4582 Installation Instructions..
Note: when ordering a 4582 Monitor Strike for use with mortise locks where the auxiliary bolt is located below the main latchbolt (such as the Von Duprin 7500 Mortise Lock), order the 4582 strike in the opposite handing of the door handing.as shown below.

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