The problem with lead acid is cycle life. Even for deep cycle batteries, this is not great. Most of the deep cycle batteries/leisure batteries you can buy for solar stand alone systems are only able to give about 300 cycles and that is at only 50% depth of discharge (DoD). In a back up situation (eg in a hospital) where you expect very few cycles (how often do long power cuts occur? Not that often), lead acid will be fine and last years.
However, if you have a solar stand alone system, LiFePO4 batteries will give typically 3000 cycles at 80% DoD. Only use to 50% and cycle life can be double that.
A 100 Ah lead acid leisure battery is likely to be about £100 or so (but you can only really use 50% of that capacity if you want 300 cycles). A 100 Ah LiFePO4 battery will cost about £350. So, more expensive, but not that much more considering the longer cycle life and that can be 80% DoD rather than 50%.
I agree about cycle life but suspect the discharge argument is thrown in by Lithium battery retailers.
All batteries are rated under similar legistlation/rationale. The most popular obviously being ah(converted to wh to comparer differing voltages) . Batteries are checked over 10 hour cycle to full discharge / terminal voltage. A 200 ah (lead acid or Lithium) battery must be able to supply 20a per hour for the 10 hours,if not it does not receive the 200ah rating.
A 100 ah battery is a 100 ah battery. It wouldn't get that rating if it went flat after only supplying 50% of the rationg. If so, it makes a mockery of ratings.
And Lithium are prone to destroying themselves rather more frequently if not charged/looked after carefully. (Had 2 bosch pedelecs batteries that cried off, refused charge at under 2 years old)
The cycle argument is much less valid if deep cycle (thicker plated) lead acid are utilised and provision is made to ensure correct charging post full discharge. (done via intelligent charging, battery conditioning)
The 90ah deep cycle lead acid on my camper van cost £59.99 13 years ago. Van has intelligent charging system (including a conditioner, which over charges to clean plates occasionally) and battery still runs fridge for 2 and half days when off hook up.
My thoughts are a similar system for house but charged via panels and using 5 or so of the same batteries. (I can buy 5 for £275)
Now even if those 5 only give 3kwh (I think they, d give 5 but??) that represents a £1200 saving over the cheapest Lithium I have had quoted. (suspect buying 5kwh in Lithium would be neater £3k)????
At £109 for a pair of Lead acid even if they only last 5 years its still financially valid.