Point at is controlled by the end point (rather than its center or origin) of an object. It's an invisible line from the end point to whatever you are pointing at.

You can only accurately adjust the end point in a prop if the prop is at default 100% scale. If you've scaled the prop export it (all options unchecked) and reimport (ditto) and your modified scales will be the default 100%.

With the joint editor and the translate tool and in an orthographic view (for planes use cartoon shaded lined) grab the end point and move it to the front/ Z of the center point (or origin) and numerically match the coordinates in the X and Y axis so that it's a nice straight line from origin to end. Of course you want the center itself to be exactly centered within the plane too. Memorize (parameters palette, little triangle top right, memorize) after you've adjusted, otherwise these adjustments won't be saved if you decide to add the prop to the library. Now, when you point your plane at the camera it will rotate/ follow similar to how a figure's eye does.

See illustration of eye model I've made (side view), I'm in the middle of a long IDL render so I can't make any demo images, but same principle...

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W10 Pro, HP Envy X360 Laptop, Intel Core i7-10510U, NVIDIA GeForce MX250, Intel UHD, 16 GB DDR4-2400 SDRAM, 1 TB PCIe NVMe M.2 SSD

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