I think the "opening post" question, which asked, "which is considered better" is too generalized. There are high quality braided cables and super cheap ones too. Just as there are high quality smooth insulation cables, and cheap ones. Plus, so much, especially in terms of flexibility, depends on the wires inside - for example, the size and number of strands in the wire. And the insulation on the individual wires inside the cable can affect how mouse movement feels and behaves.
So to be a valid question, it would have to compare two specific mice, one braided, one smooth. And ideally, it would have to be two identical mice, one with braided and one with smooth cables. That, to me, is the only fair and valid comparative test. Otherwise, there are too many other variables that will skew the results.
The "poll" question, on the other hand, is very valid as it simply asks what we "prefer".
I prefer wireless. I have not encountered lag issues (at least not with the latest wireless mice and keyboards). Plus I never have to worry about cable clutter, wire chaffing, wire snags, cable hangers/cranes, the cable pulling on the mouse sending the cursor to parts unknown - and most importantly, no worry with my feet and cable trying to occupy the same space.
