I didn't click-through and there might be more context than this, but "chances only increase by 2 to 5 percent" is ambiguous between "percent (as an absolute probability)" and "percent (of the chance it was before)". I'm not sure if it qualifies as an "irrationality quote", it's just unclear and could be confusing, but /u/PhilGoetz's version is a step up.

(I'd maybe not use "odds ratio multiplier", because we're not just concerned about clarity, but clarity to people who might be statistically illiterate)