there's an old joke about this:

man goes to doctor saying "I keep farting, doc; my farts aren't smelly and luckily they are also silent but I am worried because I fart all day long. Even now, as I was talking to you, I kept farting the whole time".

"I see", says the doctor. "I will prescribe you this pill, to be taken twice a day for a week".

"And will that help with the farting?"

"No, but it should help you with your sense of smell. Then come to see me after one week and we'll try to fix your hearing"

Pro tip for less stinky farts: shit as soon as you wake in the morning so you're not carrying bowels full of shit all day pushing fart gas through it.

Additional benefits include not having spontaneous emergency "oh Lord" moments of needing to find a toilet asap so as to not shit your pants.

Rank farts by far. One time I was at a crowded bar with music playing. When suddenly a whole section of people suddenly started smelling the rankest fart to the point that people were pissed and leaving to go outside. A literal room clearing fart that lingered in a crowded place. That situation wouldn't happen with a loud fart.

It depends on if you are the giver or the receiver.

I’d take a false alarm over a sneak attack.

Rank, because it means there’s shit mixed in it. Loud without smell is mostly just gas.

Like all great comedy it is about location and timing.

So somewhere you can trap a fart? Great for a stinker, perhaps get one caught behind the door of a supermarket chiller cabinet. My brother used to "cup" people by farting in a suitable receptacle and sneaking up behind them and jamming it under their nose. He still might, although I suspect his wife has probably had words about setting a bad example for the kids.

If you are amongst family or friends then a real ripper seems the correct choice. Everyone can give it a heart cheer but you are also setting a bar that you are challenging other people to beat.

The third option: thinking it's a fart and instead you shit yourself

Rank for sure. Loud farts are funny. Rank are disturbing.

Sending: Loud.

Receiving: Smelly.

Depends on if you're withdrawing or depositing

You forgot wet

Depends on if it's a competition or not

serious answer: it depends on your definition of "worse". There's some study linking smelling farts (and specifically the component that makes them rank) to health benefits: https://www.theguardian.com/science/brain-flapping/2014/jul/14/silent-not-deadly-how-farts-cure-diseases