If im not mistaken O3 doesn't burn well if at all. however O3 doesn't really like to stay in the state. something as simple as a little UV light will cause it to enter en excited state and dump a an O atom thus turning into O2.
Home O2 presents it own issue any home with O2 inside SHOULD display some kind of sign telling you its in there. Biggest problem most likely to face you at the home isn't the oxidizing effect usually there just simply enough of it to matter but its all in sealed containers. thus you face the potential for a
BLEVE. now i don't know if you have seen an O2 bottle go flying across the room but it scares the life out of me. also some of there containers are massive and would put a hole thought floors and walls