The Asus PA238Q has a calibrated sRGB mode that comes with factory calibration test results and a guarantee of less than Delta E of 5% across 30 calibration points, so in sRGB mode I don't have to worry about the screen colors much. I do have a Pantone Huey Pro, but based on how it was doing with my old monitor, I can't speak highly of its ability to correct a screen. I haven't tired it with the Asus yet and am not actually planning to try.
The Asus does have 'User Mode' that you can use to set up a custom setting. I found a post that noted dropping the color temperature to 5500 improved the blue-green coloration of the monitor. I've tried this and agree it works. However, with heavily red-orange images the sRGB seems to be a bit closer to prints.
What I was trying to ask in the last paragraph was, is there a way to adjust the tone of the image in the soft proof view. Not changing the image by adjusting it to correct the soft proof, but actually getting a soft proof that has some changes built in. I suspect there is no way to do this other than to make your own ICCs, which I don't think I'm prepared to do.
Anyway, I'm miles ahead with the new Asus over the old LG.