Aligning with spaces works very well... on a 100 year old TypeWriter !
And even Underwood introduced tabulated typing very soon after their invention of the typewriter, to let typists move the "carriage" quickly to a preset postition with a single tap on the "tab" key (hence the "stops" at the back of the mechanism). It kept the typists from debating and varying how many spaces were used to indent or align certain texts like bullets or numbers and tables. The left and right margin stops restricted ancient typists to type or tab within the preset column width. They were not able to type beyond the right margin. About 10 characters before reaching that margin, the mechanism would pass a lever that would ring a subtle bell, alerting the typist to finish or hyphenate a word, and "return the carriage" to the left with the big handle (hence the "Return" key, still available on our keyboards).
Now, look at the Tab ruler in InDesign (under the Text menu) and see how this mimics exactly the back of that old typewriter. The only extra we have nowadays, is to indent the column margins both normally and negatively (to the left, outdenting the first line), what you may need in case of a Name entry exceeding one line.
So in conclusion: in InDesign you need to set a couple of Paragraph Styles which alter the left and right margins a lot, and one style without margins but with a few tab stops. (I can send you my InDesign file if you want to study it.)
And jumping to tabs to create a horizontal gap isn't the only thing necessary and practical. In order to move lines of text vertically, you also need to set some Space Before and After certain Paragraph Styles. As you can see, I deleted extra returns to let the Space Before and After take care of the vertical gaps. These will never show up on the top or bottom of a text column, so you never need to keep track of stray returns.
The only thing what might be tricky but powerful, is the formatting of each Name entry. And that's probably what lured you into the nesting of styles. If the whole text will or needs to be imported in a 'clean' state, the pattern of tabs and the "." could trigger automatic formatting to Bold, Capitals and Regular type within that one name paragraph. But that's all the nested style could be capable of in this example, and often such an auto-applied formatting needs to be tweaked for every inconsistency in the text. But it's worth the effort in the long run !
Welcome to the world of text processing and typesetting.