Yes the re(4) driver should show that too. Though if the BIOS reads it as the spoofed address I would expect the boot log to reflect that also:
[2.4.3-RELEASE][admin@apu.stevew.lan]/root: dmesg | grep re0
re0: <realtek 8111="" 8168="" b="" c="" cp="" d="" dp="" e="" f="" g="" pcie="" gigabit="" ethernet="">port 0x1000-0x10ff mem 0xf7a00000-0xf7a00fff,0xf7900000-0xf7903fff irq 16 at device 0.0 on pci1
re0: Using 1 MSI-X message
re0: ASPM disabled
re0: Chip rev. 0x2c000000
re0: MAC rev. 0x00200000
miibus0: <mii bus="">on re0
re0: Using defaults for TSO: 65518/35/2048
re0: Ethernet address: 00:0d:b9:37:30:10
re0: netmap queues/slots: TX 1/256, RX 1/256</mii></realtek>
The rtl8111 chip is vey common (presumably because it's cheap!). There must be something special about your card, or broken.
It would be interesting to see the pciconf output showing the actual chip used there.
[2.4.3-RELEASE][admin@apu.stevew.lan]/root: pciconf -lv | grep re0
re0@pci0:1:0:0: class=0x020000 card=0x012310ec chip=0x816810ec rev=0x06 hdr=0x00
However I'm not sure there's a huge amount we can do here.
Steve