In: Psychology
Yes, of course.
I have experienced both of them.
1- Divergence in speech style that was delightful -
When i attended a workshop on "Sufi Music", the guest speakers were the profound musicians in the Sufi tradition. They reflected deeper divergence in their speech as knew the audience was pretty new to Sufism and they are "null" as far as the allied musical facets are concerned.
Therefore, every now and then, the speakers to treated us/ the audience as "minority" as illustrated the background of music with a slightlu humerous touch.
The speech, though divergent, was appealing and delightful because of the good intentions of the speakers and unique sense of humour. They used these two to better reach to us through divergence.
2- Convergence in speech style that was distressing-
Once i met an entrepreneur who was young and dynamic. During conversation, he was always trying to be similar in the context of linguistics, tone and content.
But these frequent attempts made him monotonously convergent. After around 20 minutes of the discussion i started feeling it quite distressing. His talk was further diluted because of the mere namely focus on the so called core aspect of "establishing an entrepreneural venture" which carried a bad odour of his ego too.