The "history should be exactly what you did" argument - which many people make - is really funny to me because a pull/merge-only strategy only preserves the _wrong_ history. As a tech lead, for example, I absolutely do not care one bit about the date of a commit, or when the developer started working on it, or what was the commit they started working on top of. That may be "what really happened", but it's worth nothing in the grand scheme of things. When a commit _has made it into the product_ is the only " what really happened" there is, and that is what I care about. And a linear history makes this much easier to analyze and understand, reducing cognitive load considerably.
Also, it's strange that you see merges as a contributor to keeping repos from breaking, as my experience is the opposite.
I advocate for a rebase-based strategy wherever I go as it helps developers push better code, it actually curbs hysteria-driven "merge it as fast as possible no matter how shit it is" cases, and I see how it turns the Git log into an actually useful source of information for developers and other personas. People start reading the logs!
The log should track the product's evolution, not the developers' activities.