Upgrade my CD player or futile effort?

I much appreciate the input so far since my digital knowledge is limited. As I am unsure of the improvements a DAC will bring to my CDP, what about starting with the Denafrips Ares II? I am currently not interested about all the bells and whistles since my only concern is to improve the sound of the CDP. The CDP has an optical out, the dac an optical in and rca connects for my prima luna preamp. Simple enough. What do you think, would that be enough to upgrade my digital sound? I can always go more expensive later if this works.

If I rate my analog sound a 9, I would rate my digital CD a 7. My question is, would I benefit from a better CD player, even so CD6005 is no slouch, or am I gonna end up in a goose chase?

I’d rate your CD sound a generous 4 by today’s standards. My back-of-the-envelope calculations say you’ve got upwards of $10k invested in your vinyl front end versus $500 on a CD player. I mean, I understand when you say your digital knowledge is limited, but you’ve spent 20x more on your vinyl rig yet ask if trying to upgrade your $500 CD player is “futile?” Just how bad do you think digital sound is??? What the hell do you expect from a total investment of 500 bucks? How would a $500 vinyl rig including cartridge and phono pre compare to your current setup? Where does simple common sense kick in here man? C’mon.

Your CD player sucks. I’ve heard it, and it sounds exactly as you describe it. The good news is that at this low level even a relatively meager investment in a DAC will produce very meaningful improvements. Since you’re obviously a fan of vinyl I’d recommend an R2R DAC as they tend to have a more fluid sound that can appeal to (or at least not repel/offend) analog lovers. I’d recommend a Musician Pegasus over the Ares that you can get here for $1099...
https://aoshida-audio.com/products/musician-pegasus
or at least step up to a Denafrips Pontus ll that’ll also be a significant upgrade over the Ares. And PLEASE don’t use an optical connection. Here’s a very reasonable but still very good-sounding SPDIF cable you can use until you feel like an upgrade would be worthy...
https://smile.amazon.com/Geistnotes-Apogee-Wyde-Cable-WE-RR/dp/B01N5VXVA1/ref=sr_1_1?crid=1MMDOS2Y43QM3&dchild=1&keywords=apogee+wyde+eye&qid=1631741543&sr=8-1
You’ve got a nice system, so spending a few extra bucks on your digital setup will pay great dividends. Best of luck.

@soix , just the info I needed. Obviously now I know going with a better CDP without a DAC is worthless. I did not know that because I never cared to research it. Thanks for schooling me.

In today’s world digital can be very comparable and as satisfying as vinyl. In general, it will cost a little more to get digital to sound as good as analog but I would say it is very much worth the money. While you can go the CD route, it is rather a dead end. About ten years ago I bought a very good CD player (Sim Moon 650D) which was already marketed as a CD player / DAC. That can be a good way to go… at some point adding a high quality streamer to this you can have streamed music at CD quality or higher (much content like Qobuz is of higher resolution than CD. I ran a VPI Aries and Van den Hull Frog back then. If you make a good choice of streamer (think turntable) and DAC (think phono stage) and invest about the same amount as your TT/phono stage you will probably have a pretty satisfying digital end. If you invest 25% or more additional funds into your digital end can be equal. But you have access to nearly infinite music for $14.99 / month. This is clearly the way forward.

To do this you have to make smart choices in equipment like you have on your analog end. But it is absolutely worth it. You need to immerse yourself in understanding the sounds of different DACs and Streamers. Don’t worry about the technology, read lots of professional reviews and if you can listen to some. If you can go to a high end audio dealer and tell them you want to listen to their best digital system. Once you hear it is really achievable then you can comfortably start work.

I struggled with the deficiencies in digital for decades. And made strides, but not until the last few years finally realized what it took (for me buying a good streamer). You don’t have to get equipment as good as mine to achieve a satisfying digital end… you have a different system and budget. You can see mine by clicking on my user name.

Right now my analog end is about 25% less in cost than my digital end. My analog end has a bit better detail and air. But both are completely satisfying and I listen to 90% streaming as opposed to 75% vinyl. I have 2,000 CDs which I never touch… work well as sound diffusers.

@ghdprentice 
Thoughtful post, thanks. A lot to digest since I am just debating going down the digital road. As far as streaming, even so it may be the way things are heading now, it isn't for me. I grew up reading every word of every vinyl cover I owned while listening to the album. Info about the musicians, engineers, mastering, location of recording, etc... Not to mention the lyrics. All that has always been a big part of my listening experience even if a little less now. 
However, after thinking it over, I may want a DAC that has more features than hooking up the CDP. One thing that would be helpful to me is having bluetooth since I use youtube on my cell to check out bands I may be interested in. So hearing them through my system would be very helpful as my phone sucks. So I am now looking at the Topping D70s DAC which does that and more while reportedly having a r2r type of sound. Any thoughts anyone?