"#LineageOS sends similar volumes of data to Google as these proprietary Android variants, but we do not observe the LineageOS developers themselves collecting data nor pre-installed system apps other than those of Google.
Notably, /e/Os sends no information to Google or other third parties and sends essentially no information to the /e/OS developers." 2/2
P.S. How much private data is send back also depends a lot on the configuration.
Much of the comparison between /e/OS and LineageOS is a comparison between opengapps nano and MicroG.