Am I wrong claiming that all acidic buffers should have a pH below 7?
If by "acidic buffer" you mean buffer made from a weak acid and its conjugate base - yes, you are wrong.
Please remember that it is pretty easy to reverse the thinking - why not treat your buffer made from phenoxide as the one made from a relatively strong base PhO
-? Using your terminology this is a "basic buffer", so its pH is over 7.
In general, trying to classify buffers as "acidic" and "basic", taking what they are made of as a classification parameter, is a tricky and dangerous idea (despite looking reasonably on the surface). Each buffer contains both an acid and its conjugate base, neither is "more important". How would you call buffer made from a substance with pKa = pKb = 7?