"pull request" isn't really native to git. "pull" is. A pull request is literally sending somebody a message and requesting that they pull a branch from your fork and merge it. A "pull request" in GitHub doesn't really do a pull under the covers at all.
"pull request" is a more recognizable term, but "merge request" is more technically accurate for what GitHub and GitLab do.
And is it really jumping through hoops to just name it something different? I usually think of that phrase as implying something more arduous.