Rust analyzer assists are not advertised in the sideline. Changing the value of lsp-ui-sideline-actions-kind-regex from the default "quickfix.*\\|refactor.*" to ".*" overcomes this. The question is, should these assists be displayed by default?
@yyoncho suggested that the behaviour of vscode be consulted as the oracle of wisdom on this point. Unfortunately, I am currently unable to run vscode with the required extension, in order to answer this question.