Advent was definitely NOT 'mid-fi'; very familiar with them as my next door neighbor had a pair. My exposure to Rectilinear was much more limited- heard them a few times under 'Hi-Fi store' (remember those?) conditions. The Rectilinear was a complicated design but I suspect some actual thought went into it, whereas the Lafayette was more likely just as many drivers crammed into a box with the biggest woofer that would fit.
A 'mid fi' memory that just came to me: When I was in my early teens, before I got my first 'real' system, I used to hang out in the local Radio Shack where there was a manager named Joe and a guy on Tandy Crafts side who had two clamps for hands (I forget his name). They were both really nice guys. Joe had this weird thing though: He would turn everything that affected tonal balance all the way up. Loudness control, bass, mid, treble; all of them all the way up. The sound was, as you'd expect, horrible. We used to tease him about it. He had some respectable gear there too; I remember AR and Miracord TT's on display.