Introducing the crate to the puppy positively is the one thing that will make all the difference with toilet training and ensuring it is set up correctly with the bed covering the whole base of the crate.
If you are not using the crate, your puppy must still have an enclosed area that it can used as its den and feel safe and secure in but because your puppy is in a bigger space with access to floor that isn’t covered by bed, toilet training will take a little bit longer.
To achieve successful toilet training as soon as possible, the crate is a fantastic thing to use.