"Close Caption" on Sony DVD Player

While I own and use a Panasonic BD30 player (mostly for playback SD DVDs because I'm a old-film collector) and it does a great job of upscaling older DVDs, including those I've dubbed on my Panny EH55, I may soon have access to a Sony DVD SD DVD player and a "projector" to which I can attach the Sony player to output "large" images on various handy walls. I've discovered somewhat belatedly that my EH55 has recorded and I've subsequently dudded to DVD-Rs films with Close Captioning. Although it took a long time to discover this, I found it quite accidentally when I went back to check my Panny plasma display manual and found that if I could selected "CC on" in "set up" and used the EH55 as the plaing device, the CC "subtitles" magically appeared. I did discover that it doens't work with HDMI connections, hence playing a CC-enhanced DVD on my BD30 doesn't work and my S-video connected EH55 to Pnny display does as long as "CC on" has be set up.

Finally, my question: Do any, few or many SD DVD players such as a Sony "read" CC coding (perhaps through use of the remote) so that it can be projected through a (probably code-neutral) projector onto a wall? I have some friends and relatives with various levels of hearing loss who could benefit from the CC option.

PS from OP:

I've now found that some commercial DVDs have a "hidden" CC option, i.e., it does not appear anywhere in the playing menu, but actually exists and could appear visually if "CC on" could be turned on in the player itself, something that's not possible with the project alone. For example, I viewed a recent commercial DVD which had Spanish and French subtitles (but not English, which I needed) on its menu. I could never have found the CC option if I'd I'd not set it on my Panny display and played it through the S-video out on my EH55 DVDR.

Thanks for the clarifications re HDMI. What I want to do is output via composite, component or S-video--but not HDMI--a viewable signal that can be projected on a non-active surface, i.e., not to a television display. I can do that already on my own Panny plasma display because the display itself has a "CC on" options.

I did read a thread mostly discussing the use or non-use of CC-coded programs with HDMI inputs and outputs but that does not address my purposes.

Could it be that there are no SD players that can output through a "dumb" projecting device, but that CC can only be decoded and displayed through an electronic display itself such as most modern TV displays such as my Panny?