TL7705B: Do both RESET output terminals need pull-up/down resistor even if one of RESET outputs is used?

 Hello guys,

 One of my customers is going to evaluate TL7705B for their new products.

 They have a question about this device. 

 They use /RESET output (No.5 pin) only. In this case, can the remaining output, RESET terminal (No.6 pin) be left open?

 Or is a pull-down resistor needed between RESET terminal and GND as Figure 9-1.(Reset Controller Schematic for a Microprocessor)

 in the device datasheet?

 Could you please give me your reply?

 Best regards,

 Kazuya.