disclaimer: I worked in a DI lab

second disclaimer, dbspin knows all this, this is aimed at the casual observer

About 2010 was the time that digital cameras were common enough and had enough dynamic range to make "better" looking 35mm than 35mm. There were caveats, certain hella expensive fujifilm stock still looked great and had decent enough resolution if you were skilled enough. (I'm not a DoP or lighting designer so take this with that in mind)

RED gets lots of credit, but frankly they were not that great, they had optical resolution, but not very good colour or dynamic range.

However, the most important point is this, most films from about 2006 were fed through DI. This means they were scanned in, degrained, conformed (so all shots from the same scene had the sameish histogram). Then the colourist would grade it all, give it a feel ( a bit like foley/music) and it'd be lasered back out to film or sent to be packaged into a DCI.

the "feel" of film is usually added or enhanced. modern film stock isn't grainy, unless you choose it to be. (compare layer cake to harry brown) "film-y ness is a choice, in the same way that "warm" analogue sound is a choice"