Does the description clearly state what the tool does and how it differs from similar tools?
States a specific verb ('Check') and resource ('WordPress core, plugin, and theme updates'), which is clearly distinguishable from write siblings like mcp_update_core, mcp_update_plugin, and mcp_update_all_plugins. It does not, however, explicitly contrast itself with those siblings, so an agent must infer the check-vs-apply distinction.
Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.