Apple Music in iOS offers lossless ranging from CD quality (44.1/16) to 192/24. In Apple world, the term lossless is used in reference to lossy audio codecs such as AAC or MP3 vs lossless compression codec ALAC. Both AAC and ALAC are 44.1/16, but one is lossy, the other isn’t, according to its compression algorithim. 44.1/24 and 48/24 are considered studio quality and lossless. When Apple says Hi-Res, they mean 24-bit audio at sample rates above 48kHz.
The native music app included in iOS and macOS is called Apple Music. iTunes is strictly a Windows app only.
The Apple Music streaming service is available in iTunes for Windows PC, and as a web based service that will work in any browser that I know of. However, in both of these instances it is limited to delivery of lossy AAC only, in 44.1/16. Apple lossless ALAC in unavailable in iTunes. But iTunes will still show in your DAC as 44.1/16, because it is 44.1/16, just lossy compressed.
The only way to have Apple lossless is by using a device running an Apple OS (or maybe Apple Music for Android. That’s something I never tried).