No, as I said, Sisko had a clear plurality of lines across the series. But I'm sure his overall percentage was the lowest of any captain (barring Lorca). And that's not just because DS9 had the largest main cast and a large array of "fake guest stars" like Garak, Morn, Nog, Martok, etc.
As I said, Sisko was the series protagonist - the series was about him fundamentally, whereas TOS isn't about Kirk, TNG isn't about Picard, VOY isn't about Janeway, etc. That said, on a week-to-week basis he could often be all but absent.
I'm not sure I agree about TOS, it was a very different format.
Back in 2004, someone on this forum apparently did a word count across all of Trek to that date. It's not perfect for our purposes, because he lumped together all Trek up to that point together, rather than breaking out by series. Moves are also included, but that's not important.
Regardless, adding together the main cast of each series, here are the percentage of words across all scripts for each captain:
Kirk: 45.5%
Picard: 30.1%
Sisko: 19.6%
Janeway: 25.3%
Archer: 35.3%
Picard and Sisko are slightly underestimated, because Worf's total word count is being counted towards each series, which of course isn't right. On the other hand I didn't include the recurring non-main characters, even though certain ones like Garak had more scripted dialogue than main characters (including Jake Sisko on DS9). If you included all the semi-regulars, Sisko's total would have fallen even more.
Regardless, DS9 and TOS were opposite ends of the Trek spectrum, with TOS the most "captain-focused" show, and DS9 the least.
I have my issues with DIS, but this isn't one of them. I thought the main characters treated her quite differently. Tilly warmed up to her pretty fast and they became besties. Lorca showed faith in her from the beginning. Ash was...ugh...but it was different. Stamets and Saru were most similar in their initial response to her, but even this dynamic changed over time. Although honestly, I can't even think of any interactions Stamets had with Burnham in the back half of the series at all.