Well, the very first day when I switched from Tidal HD to Apple music I could sense the difference. The interesting part is that I didn't really expect any difference because at that time I thought Apple is using a lossless codec too(ALAC) so that made me google it and I've found they are actually using AAC thus the reason why I think there is a noticeable difference.

Now I'm still listening lossy audio because for some reasons I decided to cancel the Tidal subscription. I can't say the difference is really like between SD and HD video so you don't miss much but if you get used with lossless audio chances are that you can sense the difference when you switch to a lossy version.