I've never had a problem with service staff splitting bills in America. I've heard it's a problem in Europe, but then again I've also heard that tipping is not commonplace there.
Bill splitting is a major pain in Australia and I've done the whole yelp outrage thing after rude staff have refused to split the bill (when we said at the beginning!). I much prefer Denmark, where the bill is always split, and you have to take someone's bill to pay for them. See also: a year of living danishly https://www.amazon.co.uk/Year-Living-Danishly-Uncovering-Hap...
Highly dependent on the region. In Germany and Austria [the only countries that I'm sure about :)], you're not as expected to tip as in the US for example, but it's still customary to do so.
If your service was bad, you don't tip. If it was okay, you may or may not tip a small amount. If it was great, yes, absolutely, you do tip.
> i.e. wages are very high in CH
That's probably because wages in CH are very high in general. Kind of evens out, seeing as the cost of living is equally high compared to most other countries in central Europe.