As per my reply to Misterg above. Forklift batteries really ARE stronger as their output rating is tested & certified on much bigger loadings (& batts are far better at small loads over long duration than big loads over short duration). Ergo a (say) 200ah Forklift cell is actually significantly more powerful than its 200ah Leisure (C20) alternative.Forklift batteries get loads of abuse. They are charged relatively quickly and deep discharged day in day out. They still last many years.
Your 50% figure is deliberately pessimistic. 70 to 75% is more accurate. So how much for a 38kwh battery bank?
If they are still good enough for hunter killer submarines they should be good enough for most people!
The flattest part of the discharge curve of a lead-acid is between 20 & 80-odd percent, so you get the most current for the least voltage drop. On off-grid inverter-charger-battery setups, the charge voltages would be set to utilise this 60% zone for longevity & performance, (80 - 100% only being engaged during periodic "Equalise" cycles to minimise stratification, sulphates & to boost SG levels in the Electrolyte). It's going below 20% (where voltage plummets under load on the curve) that needs avoiding.
Like all selling fluff - I think there us some exaggeration of the DoD on the trendy Lithium capability - and under-playing of the DoD that Lead-Acid can handle (& it's put about enough that the exaggerated performance difference is greater that this becomes established "fact").
IMO Lithium Leisure Batteries extra cost isn't justified of warranted given the real performance difference (unless like the OP, the weight is the most important factor)