Well good !
HydrogenPeroxide is much safer and the byproducts after disinfection are water and oxygen.
Hydrogen Peroxide (H2O2) is not compatible for swimming pool use to control algae, etc.
The cheap little bottle of first aide grade peroxide is not a good reference point for the $$$ used for pool disinfection. First of all, the peroxide concentration in that little bottle is pretty low. It would take a whole pile of bottles to get enough peroxide into a swimming pool volume of water. Expensive.
Peroxide is also a very hazardous material when you go to higher concentrations to reduce the volume of liquid needed for a task. High level PPE and expensive storage provisions are needed. Shipping is expensive at higher concentrations as peroxide’s are a DOT hazardous material thus entail lots of shipping restrictions plus a hazardous cargo endorsement to the basic CDL.
So, hydrogen peroxide is not a compatible choice for pool disinfection.
A salt water pool is a valid option but it’s not a free ride running one. Salt water pools take their own variety of daily monitoring and fussing with water chemistry balancing. That said, if I were putting in a new pool or investing in upgrading an existing pool, I’d probably go with a salt water pool.