Nepenthes don't like standing water, no. Many of them are epiphytic which means they grow on the bark of trees so all the water they get is rain water running down the tree when it rains. Others grow in the ground (many in rockier areas) and are used to heavy rainfall followed by hot humid conditions.
Sarrs aren't like this. They can live like a nepenthes, but in nature they usually live in wetter conditions most of the year.
I have some sarrs in 6 inch deep pots and keep them in about 3 inches of water outside year round, and they thrive.
This photo might help put it in perspective. These sarracenia are happier than pigs in slop.