I watched one ~50min long Igus webinar and downloaded their drylin linear bearings catalogue. My findings are the following:
a) They state in the video that heat is mostly transferred through contact (shaft and housing);
b) They offer +150 materials for non-metallic bearings and they tweak the composition in order to primarily achieve a desired PxV (Pressure x Velocity), and then the other required properties such as: coefficient of friction, wear, temperature range, dirt tolerance, contaminant tolerance (water, oils, chemicals), shaft material compatibility and others;
c) They call this design "Flute", "Ribbed", "Slotted" or "Padded";
d) They make one and only one claim for the design: it is dirt tolerant;
e) They explain how it controls dirt and dust through three mechanisms: The slot is large enough for some particles to pass through; The pads act as a wiper due to the high contact pressure; Assembly tolerance is tighter than for ball bearings;
f) The design came to be through the objective of replacing linear ball bearings, which led to the observation that linear ball bearings usually only contact the shaft mostly in 1 to 3 linear positions, thus it made sense for them to replace the chain of ball bearings by individual pads; however, the contact pressure would be generally high for the non-metallic material, leading to the addition of more pads in order to obtain the desired speed (PxV);
g) The adverts for the padded bearings in the catalogue show agricultural application, milling machine, saw mill and industrial equipment covered in powder;
h) They also offer the same variety of solutions for padless bearings, just like their competitor in the video I posted, thus it's not an "our" design vs "their" design competition, there are limitations for both designs.
Regarding your guesses:
1) It does mechanically work in the environments they show in the adverts but actual product life is unclear;
2) They offer a large variety of plain bearings, just as their competitors. Also, as shown in the video, PxV for padded bearings is reduced (mind you, PxV ultimately converts to W/m²). Many of the bearings in the catalogue are not a full ring for mechanical reasons, regardless of being plain or ribbed, but the closed bearings are still free to expand in the axial direction. Their rated PxV (W/m²) is a consequence of their thermal performance;
3) Contact is the primary heat transfer mechanism, thus having slots can be detrimental to heat transfer, but without calculations or analysis of a specific bearing, it is safe to state that any benefits to heat transfer remain undecided.