In "New Game +" (NG+), which gets unlocked by beating the game (and not removing the zero-savegamefile), you can map warp. This means that when the map is up, you can click into (an area of) a room to instantly teleport there. The room needs to be unlocked, and (when you're in NG+) the skeleton hand will hold a stylus, which you need to point at the (part of) the room. Current known/possible strats consist of minimizing the number of clicks to get to the next destination. That doesn't necessarily translate to being faster.

Counting clicks: In most cases you want to warp when the gamebook is already open. If it isn't (e.g. because the cutscene was an in-house cutscene) you need to open it anyway to get the next clue. If not, you have 1 click to open the gamebook if you want to warp. If you don't want to warp, this click reverses, as you (won't) have to click to close the gamebook. Click map once to open the map of the current floor. If your destination is on a different floor, you can move up a floor by pressing "map" again (or the "fastforward" button), or move down a floor by pressing the "rewind" button. In other words, 1 click to select the map, up to 2 clicks to get to the floor and 1 final click on the room. In total anything from 2 to 4 clicks. Of course, you have to continue the number of clicks from the "landing postion" to your object.

Positions: With the exceptions of the Foyer, the 2nd floor Hallway, all rooms have one "landing position", which is the position you see when you enter the room from the Hallway/Foyer (if such a door exists). The Chapel lands toward the torch, the Lab lands toward the operating table, Nursery and Attic land just like entering them through the door. Another exception is the Game Room, which lands facing the pool table. (Also, the Lab is drawn as a rectangle on the map, which it certainly isn't) The Foyer and the Hallway consist of 5 different landing points, separated by the black lines in this image: https://imgur.com/a/SoT84gc The red arrows indicate the position and direction of the landing position. I took the liberty of removing walls where there should be doors/entrances. Here is a bigger version with screenshots: https://imgur.com/a/EYo2RCF

Strategy: Copmpare the number of clicks you need by walking to the number of clicks by warping. Choose whichever is smaller, in most cases it's map warping.

Full Movement Tutorial: