The benefits of touchscreens on computers are obvious:
It's so much cooler to operate on your screen directly.
It brings some mandatory exercise for computer nerds.
The drawbacks are obvious too:
- Greasy fingerprints all over your screen
- The tough-sensitive layer on top of the display layer makes the image slightly less crisp since it's another layer of plastic
- Even more so if you add a screen protector.
- Without the screen protector, you'll have worn off the outer coating of your display itself in no-time flat
Now -- don't get me wrong, there's definitely some useful purposes for them, like operating factory machinery in environments where keyboards/mice are impractical, or things like 911 dispatch phone systems, etc.
...But unless you're dealing with a limited set of options that can be represented by big push buttons, toughscreens simply aren't flexible enough to replace mice/keyboards, and if you still need to use those anyway then the drawback of touchscreens (see above) don't make up for the few times they can be a small convenience.
All other things (including price) being equal, I'd personally pick the monitor
without then touchscreen functionality.