Three layers stack at the very top of the roof. The vent and the plastic strip are the same thing.
Ridge
The top line of the roof, where the two slopes meet.
Slot
A gap the roofer cuts in the wood along the ridge. Hot attic air gets out here.
Ridge vent
A plastic strip laid over the slot. Air gets out through its edges. Rain and bugs stay out.
Yours: Cor-A-Vent V-600, 8.5 in wide.
Cap shingles
Small shingle pieces folded over the strip to cover it.
Yours: CertainTeed Mountain Ridge, 10 in wide.
The three layers, pulled apart
Looking at the end of the ridge. Bottom to top: the wood with the slot, then the vent strip, then the cap. Thicknesses are drawn bigger than real so you can see them.
How the roofer builds it
Looking down on the same ridge in three stages. The vent comes in 4 ft pieces. When it is done, the slot and the strip are hidden. From the street you only see the caps.
How air gets out
Hot air rises out of the attic, through the slot, into the strip, and out its two edges under the cap. The whole house fan pushes air out this same path, just much faster.
Why the vent has to match the cap
Each vent is made for one cap width. The V-600 is narrower than your 10 in cap, so the cap covers all of it. The Cobra you linked is made for 12 in caps. Under your 10 in caps, about 1 in on each side is left bare where a cap should sit. Cobra edges stick out past the cap on purpose. That is where its air comes out.
What “sits right” means
Mountain Ridge caps are thick, about five layers. A good roofer bends each one over the strip so it lies tight. If they are too stiff for the strip's shape, they lift or crack. Your roofer will know from experience.
From the street
A computer-made picture of a roof like yours. The vent is the thin raised line along the very top. That is all anyone sees.
Ask the roofer
Does my CertainTeed warranty need a CertainTeed ridge vent, or is the Cor-A-Vent V-600 fine?
Have you put Mountain Ridge caps over a V-600 before? Do they lie tight?
Please write down the feet of slot on each ridge, plus the box vents. We need 9.18 sq ft of vent in total.