A backlink profile is the set of external links pointing at a site, read as a whole: how many referring domains there are, which pages earn links, and how those links are distributed. One link tells you little; the profile is the pattern.
Toxic backlinks are links that look manipulative or irrelevant, such as paid link networks, exact-match anchor spam, or links from unrelated hacked pages. “Toxic” is a judgement, not a Search Console status. A backlink audit means reviewing the profile, separating risky patterns from normal links, and deciding whether to disavow or simply document.
Visdenda has no backlink index and does not pretend to. If link data is the main job, keep Ahrefs, Semrush, Moz or SpyFu. Visdenda starts after the crawl, when Google changes and you need to know which of your pages it hit.