The app in the background behind Disk Utility is not the Finder, but the Storage Management section of System Settings app. The information in the Storage Management tends to be incorrect for a number of reasons. Plus the System Management breakdown of storage & identifiers has different meanings than Disk Utility or even the Finder itself.
The categories in the Storage Management area such as Applications and Documents do not mean items just in the "Applications" or "Documents" folders, but any item on your Mac which can be considered an executable (aka application) or a document type file.
FYI, the only important & reliable storage value is the Free storage space value shown only in Disk Utility & the System Profiler. The "Available" storage value shown every where within macOS is very misleading and is not synonymous with Free. Even the Used storage value can be misleading under certain conditions due to how the APFS file system works.
Sometimes the Finder "Get Info" may provide you with the Available & Purgeable values, when it does you can calculate the Free space value:
Free space = Available space - Purgeable space