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How different we can see things! I have just spent two solid weeks with the RX1 and a7r and mostly the 55/1.8 using them interchangeably. My experiences are the exact opposite of yours, lol.
The RX1 is a fine but fragile little camera, harder to hold, less ergonomic, fussy storage of it with the EVF attached, weaker battery, less controls and customisability. And I really enjoy the a7r shutter release! It feels much more solid and has a fine half press step, even the finger pad over the release works better and minimizes jabbing, esp in the -30 degree cold we experienced when finger feeling has disappeared. The camera is much less prone to unintended camera shake due to its larger mass and grip. The EVF and screen are hugely improved and are a pleasure to use, AF spot handling much more sophisticated once both focus area and focus settings are assigned. The FE55 is almost perfect, has overall very fine bokeh and focuses accurately in ultra poor light, e.g. 1/15s-ISO6400-f1.8. It takes its time but gets it right. Using the RX1 aperture ring is harder than the front dial in a right hand camera also.
Build quality is something one reads about but no or few details are usually given. The RX1 has a more fragile battery door, vulnerable EVF, tiny hard to find buttons. Fit of body components feel very similar to me. I see little to complain about in the a7r.