Problem solved! A curious solution, one that I first thought might be regarded as a bug, but now think might be an asset. Thank you, all, though,for suggestions.
This is the solution:
If the phrase has been saved with a capital first letter or capital letter after a dot, it will be expanded with a capital first letter in each place, regardless of whether one's saved shortcut has itself a capital first letter or no, and regardless of whether one types the shortcut with a capital or a lower-case first letter when using the Text Replacement in a document.
If the phrase has been saved with a lower-case first letter or lower-case letter after a dot, it will be expanded with a capital first letter in each place, regardless of whether one's saved shortcut has itself a capital first letter or not, if one types the shortcut with a capital letter when using the Text Replacement in a document.
If the phrase has been saved with a lower-case first letter or lower-case letter after a dot, it will be expanded with a lower-case first letter in each place, regardless of whether one's saved shortcut has itself a capital first letter or no, if one types the shortcut with a lower-case letter when using the Text Replacement in a document.
In other words, a capital first letter in the phrase will be expanded with a capital letter, regardless of how the shortcut is saved and regardless of how the shortcut is typed. A lower-case first letter in the phrase will be expanded according to whether the first letter of the shortcut is typed big or small when using the Text Replacement in a document, regardless of how the first letter of the shortcut was saved.
If the phrase (like an email address) has been saved with lower-case initial letters, it is how the shortcut is typed that determines the expansion, not the way the shortcut was saved.
These results were obtained with Auto Capitalization and Spelling Correction on. I have not tried any of this again with A.C. and/or S.C. off.