SCR overvoltage behaviour is very simple, they turn on. Either the avalanche leakage current as it approaches the breakdown voltage turns the junctions on, or the rate of rise of voltage induces a capacitive current that does the same thing. Using 2 SCR devices in series means they will be able to still function even if one is leaky or failed short, as the other is a back up for the off state guarantee.
Turn off is done with the relays, which are energised to hold the contacts closed during the pulse, but they are released when the pulse is at a lower level, using the breaking ability of the relay to interrupt the current pulse. Then, after a short interval, they close again, so the reverse polarity pulse can be applied, with the massive high voltage SCR using it's turn on immunity to not trigger during the positive pulse and short the power capacitor bank, with the snubber assisting there as well. The reverse pulse is lower energy, and needs a better control of turn off, thus the IGBT devices to ensure a fster turn off than the relay can provide.
Then the relays are released, and the monitoring circuit can then read the heart again with minimal interference. Relay life, even for those Matsushita units, will be very poor, around 500 cycles, but for a device that in it's entire life will only have 50 cycles of test firing in production, and perhaps another 20 cycles over the entire standby time, that is still a very reliable lifetime.
Failure mode of a SCR depends entirely on the energy available, it will always turn on as a protective mechanism, and then fail as a short if the energy is moderately past the maximum it can handle, which overheats the die and destroys it, or it will blow open if the switched energy is too large and at the level of fusing the bond wires.