As has been said already, the old thinking of 34v or 48v being better was related to lead acid batteries. the reason was mostly the rate you could pull the power out of the battery before voltage drop became as serious issue and Peukert factor meant far less available capacity at a high current draw.
Don't let the eyes roll back just yet, I'll try to explain what all that meant.
An average 100Ah 12v AGM has a C20 rating, this means the advertised capacity (100Ah) divided by 20 hrs, in the case of a 100Ah battery that equals 5 amps. 50% available means 50amps @ 5 amps will give you 10hrs of energy supply. Then Mr Peukert through a spanner in the works with a formula to explain why 5 amps for 10hrs didn't mean you would get 50 amps for 1 hr. The formula is a bit like bistro maths, that thing women do when trying to split the restaurant bill

All you really need to know is a lead acid battery (flooded cell, AGM, Gel, lead crystal) will only supply the 50% capacity at 5 amps per 100Ah capacity.
The next bit needs a bit of electrical understanding to do with amps, volts, watts and how it all fits together.
5 amps @ 12v =60w, amps x volts equals watts ad watts is the actual working capacity of energy and electricity is one form of energy. With this bit of info and the bit about 5 amps per 100Ah, if the battery voltage is doubled to 24v and the same 100Ah the available energy while still getting the full stored capacity doubles, 5 amps x 24v = 120w, at 48v the same occurs, now 240w is available but still only 5 amps load...

I know it sounds a whole lot of Irish computer logic but that was the whole issue with using lead acid batteries for house battery use.
Then lithium technology entered the scene and made all that part of the 19th century technology where it started and remained. Lithium does not suffer a Peukert factor at the rate we use them for house power, 50 amps per 100Ah and up to 300 amps per 100Ah capacity before it really has enough of an effect to become a problem. Now 600w can easily be used from the 100Ah @ 12v battery for a whole hr before it would be considered discharged. That's right, the full 100Ah is available without damage if you really need it, but logic says it's always best to have a bit in reserve just in case the battery didn't have the full 100% capacity when the load started so the usual rule of thumb is to calculate on a max of 80% being used out of the battery before an alarm tells you to settle down a bit

Our system will shut down the battery link at 50% capacity
I think he meant 5%?remaining just to protect it and leave a little bit spare for an emergency..... that 5% is still plenty to start a big diesel engine for example so even though it is a 12v battery pack at a state of charge most would think was flat as a tack, it still has quite a bit of punch left.
No idea if that helped or really muddied the water but hopefully it helps to relieve any anxiety when a 12v lithium system is suggested yet some say it needs to be a higher voltage to run heavy loads..... the difference between lithium thinking and lead acid battery thinking when it comes to deep cycle house battery use, there are lead acid batteries that can supply the high loads but they can not supply the capacity to sustain those high loads for long periods where lithium batteries can.
T1 Terry
Thanks Bruce, it was meant to read 5% not 50%