your stove you sau is rated at 500,000 btu..where the manufactures get that i don't really know. perhaps that is at the outlet of the stove and with a full load of good dry wood. if youwere to get the max from yoru stove i would make a guess that it would need to be kept very full of fuel and as it burnt you wouldhave to add more to keep the btu output high. also to deliver that amount of heat to yoru pool you would need to move about 50 gpm at 180 degrees (not likely going to happen) but the pump upgrade you are going for will help (and maybe a smaller heat exchanger at the pool)
if you moved teh water faster to the pool and used a smaller exchanger that would restrict how many btu were going into the pool it owuldhave to deliver this amount of btu for a longer period of time but the water moving faster and not giving up the maximum amount of btu should give yoru stove time to recover to above the 150 degree mark
lets say you need that 500,000 to raise the pool to the desired temp. and it runs for 1 hour like that..and yor return temps were 130 and your furnae couldnt recover...now lets say you move the water faster and use a smaller exchanger at the pool. you still deliver the 500,000 but instead of in 1 hour you take 3 or 4..the return temp of the water will be much higher (lets say 150) and now your stove can recover...it will run lnger but will be able to produce enough btu to keep you above the 150 and not shut down your heat supply to the house.