What is the purpose of the player drawing map if it does not correspond to any character activity? I really do not see what is gained by the player attempting to draw a map from the DM's description.
The Characters aren't doing anything, the Players are doing everything. And the Players aren't just playing the game, they're spilling drinks, smoking [CENSORED], listening to music, telling jokes, tracking Hit Points, reading rules, asking questions, etc. And, perhaps, drawing a map.
Now, I admit it is tedious, and I don't really recommend it. As Players, we are often very orthogonal in our thinking and we don't feel like a map is a map unless it contains all of the nooks and crannies, apses and buttresses, daises, etc. we encounter while playing the game. This is a detailed map, but a ball and stick map is also an option. But not making a map removes a tool for fun. A sense of discovery for the Players that is more than a die roll.
How about this as an example.*
Clue: The secret door you seek is in the center of the magic square.
Exploration: We find nine rooms and each contains a large magic square inscribed on the floor.
Discovery: The entire dungeon is laid out in the form of a magic square.
Twist: Each of the nine magic squares has a secret door in the center, but eight of them lead to certain death!* *
* Another example is the Vivified Labyrinth in Korvosa.
* * Damn! This is a brilliant idea. I'm salivating already. But wait, it's not a good idea because my one Player who liked to map things is no longer with us. [CENSORED]!