There’s not really a difference between BenchmarkTools and Chairmarks here, except that for your example Chairmarks chooses fewer samples and finishes faster (although that’s generally a goal of Chairmarks).
In my view, if you’re using @btime or @b you’re doing so because you are looking at a performance-critical part of your code. That is inherently incompatible with printing to the terminal, in general I would say but especially in Julia, see:
So yes, I’d say if you want to benchmark the runtime of some piece of code for which you care about performance, don’t let that code print to the terminal.