The Short Version
The claim is not supported by the evidence. The most rigorous direct comparison — the 2005 Nature study — found Wikipedia had more total errors and a higher per-article error rate than Britannica (162 vs. 123 total; 4 vs. 3 per article), though serious errors were tied. At best, the study showed rough parity, not Wikipedia superiority. No subsequent head-to-head accuracy study has been cited to update this finding. Wikipedia's growth in size does not equate to greater accuracy.