How is the cooling of the Pi5?
Which kind power supply do you use? Does it give 5 A at 5 V reliably? If you connect this to the Pi5 USB-C, then that onboard connector will be the issue, because it simply is not made for such high current and the contacts simply burn out over time, especially with many connect-disconnect-cycles.
Wi-Fi does consume much power and puts a lot of strain onto onboard LDO, so yes, this can be an issue, because reliability of the LDO decays rather quickly under constant overload condition. To test reliably, you may add to config.txt:
Did you connect the Pi5 RTC battery and set dtparam=rtc_bbat_vchg=3000000 in config.txt? Adding this setting without connecting the battery will cause strange surges on the power rails.
All additions to config.txt can be done via Webconf → Hardware → Options tick Advanced View → Custom Config. Adding lines in this field writes them directly to config.txt as well and so these settings survive updates and crashes.
If you wand to add a good USB-C power supply to your Zynthian, you may choose a 5V 8A power regulator board (overspec for reliability and thermals) to power the Pi5 via GPIO 5V and GND pins and feed the input with 20V from a USB-C power trigger module set to 20V. This way the USB-C connector will survive much longer, plus you can use a USB-C power bank with 15 to 24V output and about 27W.
More info in my posts about the Zynthian Pocket: