Everyone has their opinions about these things. I am not going to give an opinion, I'll simply say what I do.
1. you have a slightly irrelevant article to your website topic, low conversions, but a lot of quality links to page, but no primary keywords in article title.
I prefer to have mostly content on a site that is closely related to the central theme of the site, but I don't mind having slightly, or moderately, or highly unrelated content on my sites - especially if it attracts visitors - and if it attracts visitors I don't mind having quite a bit of that content on the site. I monetize it with ads and if it attracts links I enjoy the linkjuice. I know for a fact that some of these visitors buy stuff, and know for a fact that they go onto other pages of the site that are in the central theme.
Bottom line... I would keep the article that you describe. I might improve it if I can so it will attract more links and more traffic. I would slap a couple of Adsense units on it and block my competitors ads from appearing.
2. You have a slightly irrelevant article to your website, low conversion, but a lot of quality links AND you have your site's primary keywords in article title
This is kickass. Make more of these if you can.
3. You have a relevant topic to the site, but low engagement and low conversions.
Sometimes articles like this are extremely valuable for visitors and past customers. If it is a page that says how to repair an item that you sell then it is valuable, if it is low effort to produce make more of them. These articles can attract links.
There are many ways that slightly irrelevant articles can be valuable. I have totally irrelevant articles that attract a lot of traffic, make a lot of ad money and produce a few conversions. Low engagement, low conversions but huge links and huge ad revenue. I am always looking for these opportunities.