What do you mean by traditional rug? Is it a single color? A more 'Persian' type carpet with an intricate design? A flat, woven texture? If 'traditional' means 'not shaggy', the answer would depend on the colors and patterns in the carpet, probably. If the difference is just a matter of textures, while the color(s) and any pattern still work with your overall color and design scheme, then why not? Your dining area is already separated from the living area by a step and a half-wall. A rug might simply give it a stronger sense of its own identity, and will not be visible from the seating area.

Dining area rugs are going to get dirty, whether you have kids or not. So a single-color rug that is close to the color of your living area rug might get ruined fast. Better something in darker colors with an intricate design that can 'absorb' some spilled wine without it immediately being apparent as soon as you walk into the room that there's a big stain on your dining area carpet. Also consider that you have a lot of wonderful light in your dining area. To what degree will the rug you have in mind absorb light and darken the space? And are you OK with 'grounding' the space with a rug in dark colors that won't show every bit of dirt between vacuumings? Because with all that light, everything that drops onto a light-colored, flat-woven carpet is going to be pretty much as visible as it would be on the bare boards. If you only vacuum once a week, that means that spilled food has plenty of time to work into the carpet fibers before you vacuum - so a light-colored or single-color carpet is going to look dingy quickly. Also consider fade-resistance in the dining area carpet, since a natural-fiber rug might fade wherever the sun hits it.

So much gold and brown going on! An accent color rug with a pattern but a predominant accent color? Any large pictures you could use to choose color from?

The blue of the globe?

Area rugs work together when the colors related, the designs or forms woven into the rugs are similar in scale, and the texture of the rugs is not too dissimilar. I assume by “traditional“ you mean an “oriental” rug with a short nap and intricate design. Personally, I would not pair that with the nubby, organic Moroccan rug. Have you considered a rug made in Nepal, with the thicker, heavier weave and organic feel and colors, and a dedign that is less fussy than a typical oriental rug? That would need a generous budget. But even this inexpensive, Polypropylene rug would pair well with yours because the design and colors are so muted:

It's a beautiful space and I can see the value of a round rug - but I think this feels old-fashioned. I don't have a solution other than a square rug instead; maybe you could change your round table to a rectangle - it looks a bit lonely in there. You could build in a banquette, which would accommodate more people and make more of that area .

A resounding 'Yes,' to a complementary colour for the rug and blue would be lovely. A big piece of colourful art would be a great choice! But pick what you love not one that 'goes' - anything you love will 'go' anyway!

Good luck!!