I definitely have a different approach to roots than ES but that is the beauty of growing orchids. We all figure out what we like best and if we think the orchid will approve.
First the stringy bit in the middle is green when it's alive, not brown. If it turns brown it is dead. But there is not much harm leaving the brown stringy bits if one wants to hope they still have life left in them.
The velamen coating can easily turn brown over time which does make it hard to judge if it is still performing its job or not. Pressing it for firmness is a good way of judging in such a case, if it is firm like a banana then it is still alive, if it is soft and squishy like a straw then it has degraded and can be pulled away from the stringy bit. Leaving it risks the degraded velamen causing too much wetness in the pot.
I recently had this happen to a plant I bought last year, the difference is very noticeable. Basically I bought two identical plants. The first I cleaned thoroughly and repotted. The second I got lazy cause I'd spent so much time on the first and I didn't rinse the roots! Big mistake. I'd left tiny bits of bark wedged inside of root cracks and repotted it.
Pretty much all my roots rotted away so now a year later I have one plant that has completely filled the pot and ready for a repot already and the other plant has lost all its roots. It will bounce back now that I have removed all the dead roots that were causing a really smelly soggy condition in the pot.
Breaks are unfortunate but they are not as bad as they might seem, like a plant is perfectly capable of producing lots (and I means lots) of root tips out of many places on an existing root. So if the root breaks if the root is kept in a good humid place where it gets plenty or air and never dries out too much then it will most likely produce a new root tip and carry on growing. I will attach a picture that has produced 4 new root tips on a root that got damaged as an example. I actually took this picture because the root reminded me of that sloth from "ICE AGE", maybe you can see the resemblance