I don't think blackhole has any real pros.
Writing the trigger code to move data around is probably not noticably less work than writing the code to insert the data in the right place in the first place.
As Christian Oudard writes, it doesn't reduce complexity - just moves it to a place where it's really hard to debug.
On the downside:
"Side effects" are usually a bad idea in software development. Triggers are side effects - I intend to do one thing (insert data in a table), and it actually does lots of other things. Now, when I'm debugging my code, I have to keep all the side effects in my head too - and the side effects could themselves have side effects.
most software spends far more time in maintenance than it does in development. Bringing new developers into the team and explaining the black hole trick is likely to increase the learning curve - for negligible benefit (in my view).
Because triggers are side effects, and it's relatively easy to set off a huge cascade of triggers if you're not careful, I've always tried to design my databases without a reliance on triggers; where triggers are clearly the right way to go, I've only let my most experienced developers create them. The black hole trick makes triggers into a normal, regular way of working. This is a personal point of view, of course.