Start with the subject line, because it decides whether any of the rest gets read. Every subject here is deliberately flat: a partnership idea, a pitch, a note about a specific page. None of them contain the word backlink, none promise a benefit, and none use a question mark. Editors filter on pattern rather than reading, and the pattern that survives is the one that looks like ordinary correspondence between two people who both publish things.
The line that looks like it weakens the ask is the one that makes a yes cheap. Give every recipient a clean way to say no.
The opening line is the only sentence that cannot be generated. It has to reference something you actually read, specifically enough that you could describe it in a second sentence if asked. This is the whole email, functionally. A recipient who believes you have read their work will read your ask, and one who spots a merge field in the first line will not, regardless of how good the offer underneath is.
The ask itself sits in the middle and stays concrete: a named page of yours, a named article of theirs, and what you are offering in return. Vague asks get vague outcomes. Would you be open to collaborating gives the recipient work to do before they can even evaluate it, while a link to this page from that article is a decision they can make in ten seconds.
Then the exit line, which is the piece most templates published elsewhere leave out. If a straight exchange is not something you do, no problem at all. If the answer is no, saying so is genuinely useful. Explicitly permitting a refusal feels like giving away leverage. What it does is remove the sense of being cornered, and a cornered editor resolves the situation by never replying. It also converts your silent non-answers into real answers, which is what lets you clear a pipeline honestly.
The paste-ready sentence appears in the value pitch and the second follow up for the same reason: it changes the ask from write something to paste something. That is the largest single difference in effort you can remove on the recipient's side, and effort rather than willingness is what most of these requests actually die of.
Finally, the sign off carries your site rather than a signature block full of titles and social links. The recipient is deciding whether to link to a publication, so the useful credential is the publication.