I like the composition of the photo itself, the pattern of the branches from that perspective. It looks somewhat sepia, maybe more taupe, but I think this works as a monochromatic image. I'm not sure that the noise adds to it though, just softens it I think.
I don't think grain is necessarily pleasing in film, that seems to be something of a misconception. Although I play around some with plastic cameras (with plastic lenses and next to no settings), it seems to be a matter of figuring out how to best use them (for me it depends on the subject, film speed, lighting conditions, etc.). But with a decent lens and the proper speed film I think the expectation is that the grain would be minimal, just as having an expectation of a digital image having minimal noise.
Lightroom can label it what they want, but it doesn't seem accurate to call it grain, more that it's supposed to look like grain... (faux grain? wannabee grain?? lol). The grain's in the actual emulsion on one side of the strip of film, and to me a lot of what 's supposed to look like it was shot on film often doesn't.