I’m experiencing the same issue as well.

Platform: Windows 10
ISP: SFR
Type of Internet Connection: Cat7
Internet Connection Speed: 1Gbps
Date & Time: November 10, 2023 & ongoing
Frequency: Several times per hour
Character Name: Perigueux
Race: TaruM
World: Bahamut
Main Job: THF
Support Job: DNC
Area and Coordinates: Everywhere
Party or Solo: Both
NPC Name: None
Monster Name: None
Steps:
1. Wired USB DualShock 4 controller “loses” connection to the game frequently since the latest patch. “Reconnects” a few seconds later. Can occur several times per hour. This was never an issue prior to the game update. Tried with a separate DualShock 4 controller and recreated the same issue.