Effectively, yes. It's called the Wisdom of the Crowd: http://en.wikipedia.org/wiki/Wisdom_of_the_crowd
To rule out artefacts you need to work out a) what you're looking for, and b) whether it is backed up by anything else. For example, in this study my findings are backed up by other, different studies. The findings also correlate with key public events.
Being able to infer true sentiment is not what is claimed here. Instead, you're able to infer 'sentiment' trends that are backed up in some way by other studies and research.
I'm 100% sure that these approaches aren't perfect, however they are proving useful. For example, one group of people are using a very similar approach to take average 'sentiment' on Twitter and use it to predict stock market fluctuations 3 days in advance. It works and it's proven not to be fluke. Something is in the results, however inaccurate a single tweet is.