I have the same problem with two different monitors, when connected to 14-in Macbook M1 Pro
System: Ventura 13.4, "Wake for network access" is set to "Never"
Monitors:
BENQ EX2710U (connected via a usb-c to dp1.4 cable, no other peripherals)
LG 32UL750-B (connected via a usb-c to usb-c cable with power delivery, no other peripherals)
However, the issue disappears if connected via HDMI (either with a hub or adapter).
Never had this problem with a windows laptop, so I would conclude it's definitely the mac.
I really don't get those "just turn off your monitor" or "don't use power delivery" comments. For a "pro" laptop, its support for external monitor just does not match the price tag. (I recently got an M2 air which hits
another issue)