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I think you do not understand the word guided when it comes to artillery. Once an unguided munition is fired, there is no ability for course correction.

A guided munition has control surfaces thait can cause course correction. Not all guided munitions can hit moving target or used for air-to-air combat. Most smart bombs fall into this category.

Looking at this weapon, it is clear that the fins can rotate about an axis, allowing for in-flight course correction. Also, let's look at what the article says in full on this:

Guidance. The HVP is claimed to be guided but that’s true only in a limited sense. The guidance is GPS and is applicable only against fixed, land targets with known GPS coordinates. Useful guidance is not possible against moving land targets or aerial targets due to the extreme speed of the projectile.
One of the “side effects” of speed is inertia. The faster an object moves, the slower and harder it is to alter its course. Faster means a larger turn radius. A WWI Fokker Triplane has immensely greater maneuverability than a modern F-16 because the F-16 has such high speed. An HVP traveling at Mach 7 cannot easily change course. An incoming cruise missile traveling at high subsonic speeds, for example, would be far more maneuverable than a Mach 7 HVP which is, for practical purposes in that scenario, ballistic and non-maneuverable.

What the author is pointing out is not that it is not guided, but it is not as maneuverable as the subsonic cruise missile. He says it is not easy to change course, not that it cannot change course. This would still allow for level flight, depending on how the control system works.

I'll make it more simple for you...
Rail Gun Projectile Cost
One of the selling points of the rail gun was that the projectiles would be much cheaper than any existing munition because the projectile would be an inert lump.
sNIP...A second limitation is that the projectiles are unguided although a guidance package is being studied. Thus, the projectile can’t track moving targets and can’t accept laser guidance. The targets must be fixed and the co-ordinates known.

And I stand corrected...the picture you show is of a future, proposed maneuverable round that hasn't even been made yet.
To complement the prototype railgun BAE Systems is developing for the U.S. Navy, the company is also working on the Hyper Velocity Projectile (HVP). Equipped with accurate guidance electronics for in-flight maneuverability, the HVP features a low drag aerodynamic design enabling it to fly at high velocity and decreasing time-to-target. Not limited to use only with electromagnetic railguns, variants of the HVP are also in development for conventional artillery like the Navy’s 5-inch (127-mm), 62-caliber Mk 45 Mod 4 gun system, as well as the 155-mm Advanced Gun System (AGS).

The other rounds are the ones in use. You get a point though, but for practical purposes, just like the article says, it will be pretty much non-maneuverable.
I'm man enough to admit my error.

Now back to the issue. What have you got that proves the Earth isn't flat. Show me and I'll admit I'm wrong.