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?
Both CDs and streaming sound very good on my system with CDs having a definite edge.  But ever since I acquired the GeerFab Sound extractor, SACDs have been my go-to for sound quality.  SACDs come very close to analog with this device.  Red book CDs are enhanced sonically as well with it.
Records still sound the best though.
Whatever the sample and bit rate, analog is infinite.
No, analog isn't "infinite." It's bandwidth limited just as digital is.
Not bandwidth-analog has an infinite sample and bit rate.
Def CD.  My wife, occasionally, actually pays attention to what I’m playing. I was listening to my newly received Japanese recorded CD of Days of Future Passed when, from the bedroom around the corner, I heard “wow, that was so clear . . it sounded great.”  She did have a basis of comparison as every morning for about 3 weeks before it was DOFP on Spotify streamed through a Mac MB50 to a Mac MA252 to SF Olympica llls. And for me sitting in the sweet spot,  the richness and timbre of voices were definitely clearer and fuller on the CD.  But, Spotify has given me a universe of music for 10/month.  Best of both worlds. And my CD player is a Sony 300 disc changer. Makes me sad to think how much better the CD might sound with a “real” CD player.  
This is how I relate using streaming (either reading from a hard drive or from the internet): ‘Some people still think that using pen and paper is better than using computers.’
It was proven over a dozen years ago that reading music from a hard drive sounded better than reading it from a cd.
Also with hi-res source material: SACD, dsd, and MQA, these formats exceed vinyl.