Chemical film creates distortions of its own. Colour film often pushes the reds to make skin tones, lipstick, and sunsets warmer. You can choose how much grain you want and B&W is often shot on fast high-grain film to give it a gritty textured look. Landscapes need slow micro-grain film to look as lush and detailed as possible.
And so on. The point is chemical film isn't any more real than a digital CCD.
Digital consumer displays all have colour distortions and dynamic range limitations, and so does chemical processing. Even if you apply no deliberate processing to an image, by the time it ends up on paper or a web page it usually looks quite different to the scene you'd see with your eyes.
So yes - the "feel" is different. And that's a creative choice - or it can be, for the professionals. Polaroids look very different to medium format.
Amateur phonecam users get one-size-fits-all enhancement whether they want it or not, in addition to some basic editing options. If they didn't their lifestyle shots on IG would all look lacklustre, and they wouldn't be happy about that.
That said medium format film and larger would still be hard to beat.
As far as tonality, a modern sensor should also have greater dynamic range than almost all film. They do behave differently though - highlights are harder to overexposed on film but dark areas are easier to underexpose, compared to digital.
Essentially, a film grain or a cell on a CCD sensor is like a “bin” that collects and counts photons. As you make the area of the bins smaller, there are fewer photons collected in a given image, and statistical fluctuations from sampling become more relevant. You get more “noise” in the final image.
I understand that you are saying that you see the effects even if you are not a the "molecule" level as you say, but I would think that the hard theoretic limit of photons should be at a finer granularity than high end digital cameras.
I shoot wetplate collodion sometimes and that has an effective ISO of under 2 and the detail is astounding - especially for a process that’s 150 years old.
A film is continuous right, so no amount of digital encoding would truly encode a strip of film. Of course there is a point after which it doesn't matter, but I am more interested in the technical look and feel of film vs. digital. A few years ago I looked at a film enlargement to A4 in a scrapbook and I have to say it had a different feeling about it. There were also funny artifacts of the kind that make superstitious people believe in invisible spheres that ehm are not invisible on film...?
If you contrast this with a CD recording, the bit rate is limited even if it's an audio CD due to the way they were recorded. Vinyl is supposed to be limited to 48 bits, but perhaps you can engrave in an analog way?