That first pump looks just like the one my technician replaced, been working fine since then.
Anyways moving back to the topic. I think my Electrolux did had an extra rinse option. However one of my criticisms was it just felt like there wasn't enough water to not only rinse everything out but also not enough water to wash the stains out. I believe this was because of energy regulations. Either way, I remember my socks would always get stuck in the drum seal and the thing was VERY noisy during the spin cycles even though it was brand new. If my next place comes with a Lux that was similar to mine but more upper grade because I believe mine was their basic model, I'll give Lux another shot. But if it's just as bad as the white one, it's getting replaced and won't be getting another Lux ever again unless they redesigned them to be better like the Crosley I had before the Lux.