Lead acid batteries
I'm in the fire alarm business, so we use huge numbers of Dryfit lead acid batteries. Much of what applies to them applies to 'wet' cells too, but Dryfits (or SLAs - Sealed Lead Acid) tend to be used on the cheaper type of e-bike. Some interesting details:
(1) In general manufacturers quote the storage capacity of their batteries at around 20 degrees C and a discharge at the 20 hour rate. So, if you have a 12 volt 65 amp hour battery (which weighs around 23kg, so you wouldn't want to add an e-bike to that for a start) that's only a 3.25 amp discharge. If you discharge at the 5 hour rate (13 amps, about 150 watts) its capacity drops to 55 amp hours. At the 1 hour rate you only get slightly less than 40 amp hours, and this is a discharge to 1.6 volts per cell. These values are obviously scalable to the smaller SLA (Sealed Lead Acid) batteries sometimes used on e-bikes, and may give you some idea of the design limitations.
(2) SLAs are much more tolerant of deep discharge than the corresponding wet cell batteries, BUT they are still damaged by it and especially so if they are not recharged promptly. Even being left 'flat' for a couple of days can make a huge difference.
(3) If you habitually discharge an SLA fully (but not deep discharge) you may get less than 200 discharge cycles before the capacity gets seriously affected (down to 60% of capacity when new). If you only discharge to 50% before recharging, you should fare much better - maybe 450 discharge cycles. However, if you only discharge about one third before recharging, you may expect a life of around 1200 cycles.
(4) Apart from that, there is also a clock ticking - shelf life. In our climate where temperatures are generally not above 20 degrees C the shelf life of an SLA when properly looked after may be as much as 10 years. This is seriously shortened if the storage temperature rises - a car battery in the tropics may give up in under two years, because it gets fried under the bonnet of a car.
You may realise from this why there is some effort being put into more appropriate battery technology. Weight is of course the big problem - the energy stored in our 23kg example is only 12x65=780 watt hours at the 20 hour rate, and you could probably derate this to about 500 watt hours at the sort of current demands of an e-bike. This is around the same rating as the Li-Ion battery fitted to a Wisper, which weighs (I think) 3.6 kilos.
As Flecc and others have said, though, if weight is not a consideration, lead acid rules. You know where you are with a lead acid battery. It performs to well-known standards, and within those design limitations it's pretty well 100% reliable. So, cheap and cheerful they may be, but you won't be sending yet another one back to the shop for a warranty replacement. Rather like the bicycle itself, it's a mature product, which the modern hi-tech ones certainly are not.
Rog.