Yes - the Amp hours is, as Firestarter says, a measure of the batteries capacity giving an indication of the current it can supply for a period of time.
This is important in terms of how long you can press your starter button or how many repeated start attempts you can make.
It is not a measure of the peak current it can deliver - the basic "umph" (technical term

) that it can deliver to the starter motor. This is a function of the battery's internal resistance which is determined by the battery chemistry used and the condition of the battery.
There are, of course, other factors that affect the power delivered to the starter motor - mainly resistance in the circuit between the battery and the starter ... predominantly in dirty connectors and starter relay contacts.
As to which battery to get, don't ask me - I've not really researched which is best - my Falco is only 4 yrs old so the original battery is still doing fine.
“Scientists investigate that which already is. Engineers create that which has never been.”
-- Albert Einstein