As someone who's stuck with e-books due to a lack of space for physical books, I do enable what I call "Publisher's Font"
(labelled "Publisher Font" on Kindle and "Publisher Default" on Kobo and Libby, and "Original" on Play Books) when it's available! However, and i'm not counting stuff using those print-replica formats I like (I primarily read comics and graphic novels, but also illustrated novels), but only reflowable text formats),
not all books/publishers support this feature, but it's one of many things I'm researching as part of a private project!
However, on Kobo, it's harder to tell the difference. What I do know is that for Kindle, just look for the "Publisher Font" option in the font menu, but for Kobo, try switching between "Publisher Default" and the reader's default font which, as of this reply, is usually "Georgia" on their e-readers, and "Droid Serif" in their Android tablet app. Similar thing goes for OverDrive Libby, and on Google Play Books, try switching between "Original" and "Literata".
For an example using my research list, Jarrett Lerner's "EngiNerds" series
(at least the first book, and possibly other Aladdin MAX titles too), which I believe are in the format of what I call "regular novels", does appear to support this feature! At least I believe so, but I don't currently have a physical copy on hand to verify this. It has a thing where the first few words of a chapter are in a different font
(EDIT: I later found that what I was referring to is called "smallcaps"), in this case the same font as the chapter heading, however I don't currently know what the correct term for that kind of formatting is. It's different from, but used in place of a dropcap.
However, the "Flember" and "Nothing to See Here Hotel" series, which are both illustrated novels,
don't support this feature! I get around this by finding photos of pages from physical copies, scanning them into MyFonts search, and finding the closest free font (or font already included in the reader's "fonts" menu) to the font that's used. Sadly, I don't know of any e-book platform apps (like Kindle, Kobo, and Play Books) support sideloaded fonts! However, I can do it on e-readers. For example, with the former, "Flember: The Secret Book" uses "Goudy Old Style" in print editions, and I use "Sukhumala" when reading my Kobo and Kindle digital copies (multiple copies for research, but the Kobo copy is my reading copy).
Then again, EPUB and other reflowable text e-book formats don't handle illustrated novels well, but some publishing imprints handle them better, publishing their illustrated novels in print-replica formats instead!
One example is the original OUP Children's Books releases of what I call the "Reeve & McIntyre" stand-alone titles
(no digital releases of the Roly-Poly Flying Pony series yet, but I haven't found out why), but the North American releases by Random House, who released them as the "Not-So Impossible Tales" series and changed 2 of 4 titles in the process, uses reflowable text formats instead! I feel as though RH had no respect for Sarah McIntyre's beautifully intricate art style, but it could just be that they may not know how to publish in print-replica formats!
Another example would be some of the "Geronimo Stilton" books, but I haven't really looked into those much.