After a chat with the TRE in question, now I see more clearly what his point was.
A tyre burst could severe BOTH A and B reservoirs lines, thus leaving the airplane with all four hyd pumps low pressure illuminated.
In this case, the airplane has to be considered
unsafe, as the oil from the STANDBY system returns to the - destroyed- B tank.
So, eventually, you would loose ALL pressure to the rudder.
If an engine fails, you are dead (unless you close the good engine also and glide to a good spot...
).
He is right in saying that the condition UNSAFE is one of the reasons to abort above 80 knots.
BUT..........
WHAT ABOUT ABORTING THE TAKEOFF WITH BURSTED TYRES????
In my opinion, that's a guaranteeded overrun.
So we have to balance two risks against each other: the remote possibility of an engine failure, and the almost certain overrun.
What would YOU do?
As people often ask what the hell does the word "unsafe" exactly mean in the list of the non normal manoeuvers that deals with reject takeoffs, our dear friend at last had the illumination:
academically, yes, he is right: with all four pumps illuminated during the takeoff roll, the airplane is unsafe.