If you're bundling it into one payload it does not. If you're code splitting, it's 38k of download time and ~120k of parse time you're not paying on time to first meaningful paint. It's a couple dozen ms on desktops but can be several hundred on mobile.
Probably not. The rest of your app aside, in the vast majority of cases, if you care about the file size you're optimizing the wrong thing (barring certain extremes of course).