...and some of these blogger domains have a DA of...
Whoa...let's slow down for a moment and discuss metrics. Domain Authority is not a ranking metric in use by any search engine. As far as I recall, there are no search engine scientific papers, research papers or patents that mention anything like "domain authority" so that's a metric that's no where near anything in use by the search engines. Part of the DA score is based on MozTrust, which uses a methodology (seed set based TrustRank) that was disproved about six or seven years ago and superseded with better algorithms. MozTrust, an element of DA, follows a similar methodology as TrustRank, a method that has been shown by researchers to be biased and untrustworthy for identifying spam sites.
I just did a quick Google search on what search engine patent expert Bill Slawski has said about this and
here is his opinion: [seobythesea.com]
Domain authority and Page Authority... are not ranking signals developed by any of the search engines. They were created by Moz as a convenient tool for people to use to try to gauge how easy or difficult it might be to rank a page, but they are not ranking signals that can be used by search engines. It doesn’t matter whether or not there is discussion on blogs about author rank, domain authority, or page authority. Those blogs don’t determine how Google will rank pages.
If you must use a tool, then check out Majestic's Topical Trust Flow. That tool offers a snapshot of what niches a site's backlinks are coming from. There's a numerical score offered as well which corresponds to how "trustworthy" those backlinks are. I'm not sure how accurate those are, but there have been scientific research studies that proved that by dividing a seed set into topical buckets then calculating trust metrics in that manner resulted in a result that was as high as about 43% better than regular TrustRank calculations. Regardless, one of the most important metrics of all is Relevance and Majestic's Topical Trust Flow delivers that in an easy to see graphical representation.
All of the search engines have been working to improve the relevance part of the link signal. From the feedback I have received from web workers who hammer links by the ton, the relevance factor (and non-spamminess factor) is increasingly important,
which may be different according to how competitive a phrase is. So if Relevance is important then any tool that shows you that will be useful in making a more informed decision. It's been my experience that relevance is important.
Here's an article on
SearchEngineWatch about Topical Trust Flow [searchenginewatch.com] that goes into detail.
Getting back to your question, I believe irrelevant links are of limited usefulness. Relevance has been an important goal for all the search engines and improving the link signal to reflect relevance has been a priority for a long, long time. So it follows that a focus on relevance is of importance for link cultivation & acquisition purposes. It is my experience that relevance is important.
[edited by: martinibuster at 3:25 pm (utc) on Feb 3, 2015]