in american movies / tv shows as a "bounce house" or "moon bounce"
in revenge of the nerds they had a moon room with just bouncy floors, in the simpsons they had a space walk with bouncy floors and velcro ceilings (cartoon/not real) which yes that is another motif or "theme" that is sometimes used... but I have never heard of a bouncy house. I have heard of fun/goofy houses, spooky/haunted houses, crooked houses, and many other carnival themed rides, but a bouncy castle is never a house (that I ever heard of) lol i think i saw a bouncy kingdom one time though. Bouncy castles are usually for little kids, I have seen dozens of them and even went to a party where they rented one for their own kids who ended up collapsing it! It is a ride, like a trampoline, and can have a line or require tickets/money, and I only ever saw one that offered prizes and it required you to climb a wobbley ladder that was impossible to stay on to (and you would fall into the bouncy castle)... ball crawls are not the same, they have those at mcdonalds and chuck e cheeses, usually not for adults (that i know of)
I wouldn'y put one in my park as I don't believe they qualify as a theme park ride.
I've been to at least 3 or 4 different amusement parks with "bouncy castles" as a ride, as well as smaller places like chuck e cheese. Usually for kids, sometimes as a game. I've seen them at big parks and little ones. Personally, I don't think rock climbing, laser tag, or trampolines belong at amusement parks, but that's just me.