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Implicit plot with squaring and absolute value produces empty plot

The following code:

sage: x,y = var('x y')
sage: implicit_plot(x, (x,-2,2), (y,-2,2))

produces a plot of a straight line along the coordinate y-axis as expected (it should plot the curve $x = 0$).

However, this very similar code:

sage: implicit_plot(x^2, (x,-2,2), (y,-2,2))

produces a plot with nothing on it, even though it should plot the curve $x^2 = 0$ which is clearly the same as the above curve.

This problem seems to persist with any function $f(x, y)$, i.e., in the following code,

f(x, y) = [some expression involving x and y]
sage: implicit_plot(f(x, y), [x scale], [y scale])
sage: implicit_plot(f(x, y)^2, [x scale], [y scale])

the second line produces a nonempty plot while the third line produces an empty plot. Replacing f(x,y)^2 with abs(f(x,y)) or even abs_symbolic(f(x,y)) has the same effect: they all produce empty plots.

The problem persists when one replaces implicit_plot with implicit_plot3d.

What's going on? Is this a bug?