The first sentence of the no-computers tag summary/excerpt (that most people see) means something very different from the first line of the description/wiki.
I have heard the description is the correct usage, and that we should not use the tag just to indicate the puzzle is designed to not require a computer.
I think these should be reconciled/match, either one way or the other. The tag is very confusing since at face value, the summary is the natural interpretation.
A puzzle designed to be solved without using calculators, online decoders, or computer programming. Using a computer to type and post the answer is allowed; the spirit of this tag is to make people solve the puzzle on their own.
This tag should be used for a puzzle that can be solved by brute-force calculation or programming, but where the puzzle-setter explicitly does not want people to do so and is looking for a solution that can be understood without the use of a calculator or computer.