The Gigabyte X870E AORUS MASTER wins in 10 out of 13 comparable specs, with 1 tie. Its biggest advantage is LAN (400% better).
PRO H610M-E DDR4 wins in 2 specs (PCIe x1 Slots: 100% better).
Recommendation
Choose X870E AORUS MASTER if you want the best overall performance — especially lan.
Choose PRO H610M-E DDR4 if pcie x1 slots matters more to you.
