What follows is a partial listing of sources, based on the lists in the footnotes here. Bli neder, in subsequent posts, still more sources, including those leaning in the other direction. Follow the links to see the texts in context.
This is from sefer Maharil, hilchot Taanit, pg 72 in the PDF.
Meanwhile, see what Rama, Orach Chaim 581 has to say, and how both Be'er Hetiv and Mishnah Brurah endorse this position of the Maharil:
I could not find online the teshuvot of Rav Chaim Paltiel about this. But here is the Bach citing it, on Tur Yoreh Deah siman 217.
We also have the Shach in Yoreh Deah 179 seif 15 discussing whether this is doresh el hameisim, and the Beer Hetiv on this.
Next, we present Igros Moshe, Orach Chaim chelek 5, siman 43, seif 6. You may need to click on some of these to make them larger and readable, or else you can just follow the link to the PDF above.
Next up, the teshuva of Maharam Shick, Orach Chaim, siman 293, accessible here.
Next, the teshuva of the Minchas Eluzar, chelek 1, siman 68. Bli neder, I will try to present more in a later post. And after all the sources are out there, perhaps discuss some of them.
There are other sources -- I am thinking of Aruch HaShulchan and Rav Ovadiah Yosef, but this post is long enough already. Perhaps in a later post, after I scan the relevant Aruch Hashulchan.