Jose's answer states that the discharge rate isn't related to chemistry. However, this is not correct. It can vary up to a factor of 1000 depending on chemistry.
Different batteries chemistries have different properties.
Beyond the chemistry, this is also related to the battery design itself. Size of the electrodes, the thickness of electrode coatings, electrolyte so it can also vastly vary upon this.
Some are designed for a lower self discharge rate, some for higher energy density or higher instant power output.
Larger electrode with thinner coating will have a higher discharge rate, while the opposite will lead to higher energy density.
The best is to check at the manufacturer datasheet if it is available.
Here is also a table with common values.
Concerning specifically on lead-acid, there are also several types, but two are most common, the car starter battery and the stationary battery.
Because of its construction, a starter battery is only suitable for
short loads with high current, which most commonly take place when
starting an engine of a car, truck … The main characteristic of a
starter battery is that they have big, thin, flat plates. Starter
batteries are not suitable for cyclic use (continuous charging &
discharging) A starter battery is relatively cheap.
With your pump, make sure to use a stationary battery, since you are below 1C do that is totally fine.