I think you're missing an important distinction. When paraphrasing a group of people or stating a cultural zeitgeist, quotes are acceptable:
> The gist of the HN community's opinion is, "don't use quotation marks when paraphrasing."
> Lately the Democrats approach has been, "oppose Trump at every turn."
However, when paraphrasing a specific individual, it is frowned upon at best[1][2], and considered intentionally misleading at worst[3], to put paraphrases in quotes.
> pvg said, "I don't care what HN thinks, I'll do what I want."
> pvg continued with, "no one else cares what HN thinks either."
Contrast that with,
> pvg said that "only harcore lispers" care about how paraphrasing works.
In the last example, you can clearly tell the direct quote from the paraphrase. This is very important when communicating someone else's ideas.
Regardless of hard and fast "rules" of punctuation and grammar, you have a large number of people calling your writing misleading, confusing, and inaccurate. Clear communications should be the goal of any writing; wouldn't you be best served by hearing and incorporating this feedback?
[1] MLA: "Paraphrases and summaries do not use quotation marks" - http://www.lmu.edu/Assets/Academic+Affairs+Division/Academic...
[2] Purdue: "Indirect quotations are not exact wordings but rather rephrasings or summaries of another person's words. In this case, it is not necessary to use quotation marks" (note that no example of indirect quotations include quotation marks) - https://owl.english.purdue.edu/owl/resource/577/01/
[3] "But then there's a long slide through confusion and bias into intentionally misleading quote-mangling and outright fabrication" - http://www.slate.com/blogs/lexicon_valley/2013/10/17/gay_tal...