You should not need to do that, once Bleve is enabled, it automatically adds new posts to the index (see the corresponding text in the system console → Bleve Section).
I had indexing turned on as shown in your screenshot, but results still weren’t current and weren’t updating by itself, unless I ran the index myself periodically…
Any ideas?
Can you please try to purge all Bleve indices and then run a new full indexing manually again? A periodic reindex will not recreate the index I guess but only add on top of it and maybe something is wrong with your current index.