That's a pretty niche technical intersection, and honestly, I don't think most casual readers even notice the direct link. My understanding is 'ink publishing' usually refers to publishing houses that still do significant physical print runs as their core business, like many of the big five imprints. Their approach to ebooks can be a mixed bag.
Because their production pipelines are historically built around physical books, the ebook sometimes feels like an afterthought. I've downloaded novels from major print-focused publishers where the formatting is just broken—weird page breaks mid-sentence, chapter headers that aren't linked properly in the TOC, or embedded fonts that make the text render oddly on certain e-reader screens. It's like they just ran a PDF through a basic converter and called it a day. The text is there, but the reading experience isn't polished.
On the flip side, that same legacy can sometimes mean better quality control for things like copy-editing and proofreading, since those processes are already robust for the print edition. So you're less likely to find glaring typos, but you might face more digital formatting headaches. It's a trade-off. I tend to be more forgiving of weird spacing in an ebook from a print-focused publisher than I am of actual errors in the text from a digital-native outfit.
At the end of the day, for me, it’s about whether the process respects the digital format as its own thing, not just a by-product.