Surge protectors work and will provide protection for multiple instances of surges, spikes, etc..
However damage is cumulative over time and once the limit is reached (joules) the surge protection diminishes or ceases.
So my thinking was that the ethernet surge protector was damaged in some manner and not up to carrying though the signal strengths that the Dell G3 required. The flaw in that reasoning was the 5 - 10 minutes of instability before the Dell G3 worked.
Because the Asus worked without a problem, the surge protector could be normally be eliminated as the culprit.
The Dell G3 network adapter may actually be the problem. When cold, the adapter is either insensitive to or partially insensitive to the incoming network signals possibly independent of any surge protector issues. Once the Dell 3G is warmed up, full connectivity is restored to the RJ45 port.
Yet, " An Ethernet cable run directly from the router does not have this issue." So the signal from the router is strong enough that the the Dell G3 's network adapter is good to go without the warmup being needed.
Double whammy: problem Dell G3 network adapter and a "not as it should be, possibly damaged" UPS network surge protector. RJ45 surge protectors need to be fully grounded to do their job. A spill causing a voltage spike could damage that part of the protections offered.)
(Note: Full disclosure, I really need an EE type person or someone with deeper knowledge of ethernet voltages/sensitivities to help me sort this out.....
)
Side bar:
Have you tried the Dell G3's wireless connectivity? Curious if wireless is affected.
Also which Dell G3 do you have? I looked at the service manual(s). E.g.:
https://topics-cdn.dell.com/pdf/g-series-15-3590-laptop_service-manual_en-us.pdf
The Ethernet adapter seems to be built into the motherboard while the wireless adapter is replaceable. Unfortunately wireless is not the problem per se.