As an old guy with over twenty years in the accessibility game, a master's degree in instructional design, and a life long aficionado of reading, writing, and all things creative, I offer this opinion: You are doing everything correctly, and I approve completely.
Even without a screenreader, the hashtags break the flow, and render the entire paragraph more difficult to process.
Natural text has a flowing element to it, and the hashtags are little anchors breaking the flow.
Ask any typographer about text flow of different font faces and get ready for a long discourse. These things are known...
In addition, taking the time and space to list hashtags as a closing block provides an opportunity to reflect on what you are trying to communicate. Always a good thing to have thoughtful posts instead of adding more brainless garbage to the web.
So there you have it, in my admittedly over educated and incredibly biased opinion...
ubi