No but I get what they mean. If you view the Earth as a point system, you can use the general expression of gravity between two objects and you will indeed find

No but I get what they mean. If you view the Earth as a point system, you can use the general expression of gravity between two objects and you will indeed find an extremely elongated ellipse as a solution. Considering a parabola can be viewed as an ellipse with a focal point at infinity, I’m guessing the difference between the two solutions will be so small as to be negligible. They both depend on intentional inexactitudes (g is not a fixed vector, the earth is not a point system) which don’t matter at the scale. I wouldn’t personally view the elliptical solution as truer but I see how you could.