No Local Storage Tab LR 10.3 Win 10

I believe Local Storage is a tab in the preferences for "Adobe Lightroom" - which is a cloud centric application using an online database for storing your edits, whereby the primary storage location for image files is also online. That means these online image files can be directly shared between LR Mobile, the web version of Lightroom and the locally installed Lightroom application if you want to use that. That local Lr app also refers primarly to these online files and edits database, while caching local copies of some data as you dictate, for best performance. Hence the need for these settings.

It sounds as if you have instead installed "Adobe Lightroom Classic". Nothing wrong with either, these are just two radically different options in how they work and what advantages / disadvantages go with that.

LrC is what this particular forum is about.

LrC is a local-centric application employing a local database, whereby the primary storage location for image files is chosen from drive volumes that are accessible directly to the local computer. So since the whole thing is about local storage anyway, there is no separate tab for that in the LrC preferences.