This function of this is not purely phonetic, but rather serves to make the sentence less of a outward statement and more of a self-directed or self-reflecting one.
It makes the information value of sentence primarily be “I had considered ~ previously but wasn’t sure, but in the end it indeed it is , huh...”
It’s often is accompanied by (or playing a similar role in this sentence). Even when such an adverb isn’t present, you can imagine it being there. E.g. {HHL} can basically be expanded to .