For $750, I would expect a lens that doesn't distort anything. That's an insane price for a lens with that kind of flaw.
Then, to be blunt, you're living in a fantasy world. Lens design is inherently an art of compromise. If you design a lens for one particular characteristic - maybe sharpness, for example - you
will end up compromising some other characteristic.
Rectilinear lenses are not natural. The closest thing to a "natural" lens you can buy is a fisheye, which has barrel distortion like nothing else. It's the brain that gives us the ability to perceive straight lines, right angles, and so on. The eye is a sphere. The retina is a surface on that sphere. The lens at the front of the eye is a spherical lens (which can focus perfectly on a spherical surface such as the retina). A camera, on the other hand, has a
flat sensor, and camera lenses are designed for that.
I defy you to find
any lens, at
any price, at a focal length of less than 30mm (35mm equivalent), that has no distortion whatsoever. No barrel distortion, no pincushion distortion, no chromatic aberration, focusing that's as sharp as a tack, etc. It must also be at least f/5.6 or faster, to allow for autofocus to work.
To make matters even more fun, we're talking here about a zoom lens. The compromises inherent in designing zoom lenses are even more severe than those for designing primes. There's a reason why a given zoom lens costs more than an equivalent prime (eg: a 70-200mm f/2.8 compared with a 200mm f/2.8).
On the topic of "one lens fits all" - I know of (although not personally) at least one serious photographer who uses Canon's 28-300mm as his walkaround lens. He doesn't bother with anything else. He's willing to sacrifice a bit of image quality - which most people will never notice anyway - in return for the incredible flexibility that lens gives him. Granted, that's a lens that costs over four thousand Australian dollars (RRP), but still - the point stands.
I freely admit to being a gearhead in some respects myself. I'd love nothing better than to plonk down the cash on a 5D, the 24-70mm f/2.8, the 70-200mm f/2.8L, the 85mm f/1.2L, the 15mm fisheye, and probably a few others I can't remember offhand. But I know the gear I have - 20D, 17-85mm, 100-400mm, and 50mm f/1.8 - does the job I need it to; the gear lust is just that - gear lust (at least until I can afford an underwater housing, and even then, it's still gear lust.) Does the 17-85mm have distortions? Yes. Every shot I take with it, I can see barrel distortion, especially at the wide end. Does it bother me? No, not really - and
that's what matters.
Rant mode off.
Now, can the $US750 be better spent on a series of lenses? Possibly. That depends on whether the photographer is willing to accept one set of compromises (changing lens to suit the shot) over another set of compromises (the distortions inherent in a zoom lens). All anybody on this forum can do is educate the would-be purchaser on what those compromises are, and let the individual decide on what works for him/her.