Eero is good for Fast Roaming (802.11k &r) but isn't currently best in breed for backhaul between access points. Average backhaul throughput is around 30-60 Mbps in some reviews, versus a fairly consistent 200+ Mbps with Orbi, but Orbi's drawback is not supporting Fast Roaming. Any extender-based solution is really just repeating a fraction of the host router's original signal, given the significant attenuation that occurs to a WiFi signal over just a few feet. Couple that with the timing-related delays inherent to WiFi (like TDMA windows and carrier sensing) and auto-negotiating a lower modulation/coding index due to interference, and naturally, the throughput over WiFi will be less than over Ethernet (which doesn't need listen-before-talk provisions).
One solution for extended WiFi coverage without the additional delays inherent to repeaters/extenders would be to distribute a standalone router's signals to the rooms that need it. WiFi over coax is one method of improving coverage without losing Fast Roaming, as it uses a single router as the sole access point. Coaxifi (sold on eBay) seems to be the one option for WiFi over coax that supports every WiFi frequency band. This extends your WiFi network using a router with a detachable antenna port and a few unused cable outlets in your house.
Otherwise, you can NIC-team the PC with two network interface cards/adapters of the same chipset, and use them to overcome lower TCP windows, or just to load-balance from the same WiFi or Ethernet connection. But odds are that won't fully overcome the issue with much lower bandwidth on WiFI, as that's generally related to a low WiFi RSSI (signal strength) at the client (your PC) causing it to negotiate on a more loss-tolerant MCS index (maybe 16-QAM instead of 256-QAM, etc.). So again, the best thing you can do to improve WiFi throughput is generally to 1. not repeat the signal at all (keep it a single hop, on a single SSID) and 2. to bring the client closer to the original WiFi signal (by moving the client PC, or by using WiFi over coax).