CD or Streaming... am I missing out?


I listen to CD in my headphone office system. Use a Theta Compli transport and a very nice and pricey tube 16/44 DAC. Have thought about a streaming capability and all its benefits but am both limited by SPDF and by 16/44 only. I also love the analog sound of my tube DAC. Does streaming sound far surpass CD? Am I missing out?
mglik
I just started a Qobuz trial. Too early to tell if there is much (any) difference between Amazon HD. I can play the same songs right after each other and plan to do a comparison soon. I have listened exclusively to Qobuz for the past 2 days along with cd rips on a thumb drive. I thought the thumb drive sounded noticeably better than Amazon HD and I'm not getting that sense with Qobuz thus far. Noticeably is still a minor difference and I could live with either. 

My system is fairly revealing so if there is a difference I should be able to hear it. 
Streaming all the way, the sq is of course dependent of your source...I went throughout the upgrade path from lumin D1, T1, and finally X1. There is no turning back for me, especially with tidal choices vs my cd library which I now rarely use.
@mofojo local files still do sound better to me than Qobuz, but I'm happy to listen via Qobuz for new music and other music that I don't have locally.
Although I do stream with Qobuz, and the sound is very good,
 on my system, streaming sonically comes in last place to (in order):
 LP’s, SACDs and red book CDs.
The difference in SQ amazes me every time I play a record.
Of course streaming is much easier, and it has a limitless variety of selections.