First, you have to assure from your range's installation instructions whether 24 inches is too low for the cabinets.

Second, the usual height for larger hoods providing good capture and containment of rising and expanding cooking plumes is in the 30 to 36 inch range to clear most heads and to allow sight lines into pots and pans.

Third, hood front-to-back depth needs to overlap the cooking area (contour of pan edges) to capture the expanding plumes. At 24-inches height, and 24 inches depth (even larger may be desirable), one would be looking down on the hood, or, if an insert, looking into a cabinet appearance surface.

Fourth, a shallow depth hood cannot make up for plume expansion by raising flow rates unless the flow is abnormally high with attendant turbofan levels of noise.

Fifth, plan on cleaning the glass often, even with an ideal hood configuration.

As a general rule, one must ask upon seeing almost any professionally published kitchen image: Is this a real kitchen or a poser kitchen?

30”-36” above the cooking surface

"Is 24” too low for the range insert?"

Yes, 30" minimum per every installation guide checked.