I'm not really sure what the question was in your post, but...
In San Francisco the water out of the tap is 8.2 (and very soft), and the water in my tanks with CO2 injection is in the low 6's, very similar to your situation. I've noticed stress due to pH fluctuation in only 10-15 minutes when I forgot to add buffers. I have never had a problem with pH fluctuation when adding the correct buffers during water changes.
In San Francisco the water out of the tap is 8.2 (and very soft), and the water in my tanks with CO2 injection is in the low 6's, very similar to your situation. I've noticed stress due to pH fluctuation in only 10-15 minutes when I forgot to add buffers. I have never had a problem with pH fluctuation when adding the correct buffers during water changes.