In 2013, Stephen Krashen wrote an article, The Case for Non-Targeted, Comprehensible Input, about the problems of the traditional “rule of the day” grammar syllabus. Krashen not only wrote how this “targeted” grammar and vocabulary has disadvantages, but also how TPRS reduces such problems, even ending the section with:
“Although TPRS probably succeeds in reducing the problems of the grammatical syllabus, there is another possibility: Non-targeted comprehensible input.”
At this point, it appears that the “targeted” nature of TPRS and non-targeted are—probably—on par, and that it’s really just an option of what appeals to you…