Every PCIe 10G ethernet card I've seen has a heatsink on it, sometimes covering the entire card or even have little fans on the heatsink.
Expecting it to work full time in a laptop is a bit of a stretch of the heat dissipation budget.
Also, the laptop he is working has the AMD FP8 chipset - depending on how the ports are setup, he might only get 10G USB, if the ports are allocated to video instead.
Yeah, 10Gb ethernet runs hot. I just rewired the house with 10Gb (we have 8Gb FTTP) and it's kind of upsetting how hot my Thunderbolt dock gets.
So the entire Framework card's casing should have been copper?
New chips from Realtek burn < 2W for the chip and < 3-4W for the board: https://www.servethehome.com/cheap-10gbe-realtek-rtl8127-nic...