Would my system benefit from cable upgrades?

Once again: 

     NO ONE can tell you whether/how your system, room and/or ears will respond to new/improved interconnects.   There are simply too many variables.

     The only way you’ll know for certain, is try them for yourself.

     The least expensive way: contact the guys at The Cable Company and take advantage of their lending library.

     For a pittance, you can try a few of their offerings and the rental fees are applied to any purchase made.

     In you shoes: I’d try the three Audience Ohno cables, currently available (RCAs/url below), between your TT, DAC, SACD player and Vincent.   With new/improved cables, in those critical positions: you should easily gain the knowledge you seek, one way or the other.    Even with your current speakers.

                   Whether to explore/spend further: up to you!

                    https://www.usedcable.com/audience_.html

                    https://www.thecableco.com/lending-library

Read this first. Then decide.

I think quality cables that are reasonably priced are the route to go.

As others have stated your room is a huge factor. You will net better results than spending $$$$$ on copper and silver and...

@mesch and @jjss49 are right.

More insight.

Your amp MIGHT benefit from a power cord upgrade....I believe something larger than 14 Ga. As for speaker cables, what you have should be fine. There's a reason they've been around forever. There is SO much marketing BS around cables. Don't fall for it.

Thanks everyone for your advice.

There are some really good points here.

I have been looking at some room treatment options but I know I will be limited to what I can do in my living room.

Also speaker placement is bit limited for me, I don't have to many options.

I wouldn't say my system sounds bad or anything, I was just looking to see if it can be improved but I will have to play around with a few things as suggested and see if that makes any improvement.