When I shoot RAW I do look at the LCD to see the histogram. I usually look once during a shoot to evaluate that the camera is set up correctly and what the histogram displays, I never look at the white balance as I change that during post processing. I have the JPEG settings set to Zero so no JPEG tweaking is going on - at all. I also have the digital preview set to OFF. In consistent lighting (inside at an event) I will take out my incident light meter and measure what light is happening, take a shot and look at the histogram (with blinkies) and go from there, usually setting the exposure to manual. When shooting for most of the time I am in AV mode and look at the exposure values in the viewfinder, I rarely look at the LCD when shooting while out and about.
If you are using a color managed computer environment, the color you see on your computer screen will be different than the color seen on your uncontrolled LCD. The color as seen by your camera will vary by body and to have the same color displayed by different bodies you need all the data you can get to move the color balance. This is true with film emulsions and digital. In the film days we bought hordes of film with the same emulsion number to make the "sensor" act uniformly across the development cycle. With color film printing you had to change your development processes each time you changed one of the following: film stock, paper, chemicals, light bulb in the enlarger. It is much simpler with digital, but you have to calibrate your monitor and if you print, calibrate your printer profiles for paper and inks. Same old thing. In digital it helps (note I am not saying that it requires) to have the largest amount of data you can get.
If you do not want to shoot RAW, fine, you are limiting yourself to the processing carried out by the camera body. Fine and dandy, I do have a camera (other than my phone) that shoots only JPEG and it does a pretty good job most of the time. But remember, on those rare occasions when everything just screws up, RAW can come to your rescue and it has for me. If you feel lazy about post processing, so be it. But if you change anything in a JPEG, dude, you are post processing. When I first got into shooting with a camera that supported RAW (*ist Ds) I discovered that most decent digital cameras were able to capture a usable image 90% of the time. My mindset is that I am shooting in that 10% where "good enough" just does not cut it.
As for your comment about pushing the shadows and along with landscape usage, please watch this webinar and go to 12:00 minutes.
Behold the power of RAW and no, his images do not look flat. Just try and use a linear response curve on a JPEG, it is not going to work out all that well. I wish I had this ability back in the days when I was shooting film.
I do not shoot HDR, but I do strive to get as much DR as the image can use. I did the same thing when shooting film (slide film - under expose by 2/3 of an f stop and meter off the highlights, burn and dodge with Black & White). My favorite slide film was Kodachrome 25 and as that slowly went away I shot a lot of Extachrome and Fujichrome. I shot a little bit of Extachrome IR too, which was a hoot.
Also, I did not say that shooting only JPEG is "bad", I said that you are limiting the potential of what you can do with the image. If all you do is shoot "normal" shots... great, keep up the good work. But if you want to play around with cross processing, bizarre color casts, differing Black & White processes, precise color response (think museum documentation) and correcting color casts, then you better be shooting RAW because you are going to need all the data you can get. Even if you shoot only JPEG, make sure that your editing software is non-destructive, otherwise your are SOL.