Here’s a very advanced hypothetical conditional example of using a negative modal verb phrase in a question:
If worms were evading the vibrations,
wouldn’t they burrow deeper instead?
Here are simpler examples of negative modal questions:
Now who wouldn’t want that?
Shouldn’t we save everything we can on the lifeboats?
There are two similar points in the English Grammar Profile in the category of questions at B1:
Point 24 is defined as:
‘wh-‘words + the negative form of modal verbs + subject + main verb to form ‘wh-‘questions.
Point 26 is defined as:
modal verbs + ‘not’ + subject + main verb to form ‘yes/no’ questions
*Note that there is already an entry at B1 for ‘can’t’ questions. And a much more general A2 point 25 in CLAUSES/interrogatives: negative ‘wh-‘ interrogative clauses. Point 25 includes an example sentence that includes ‘could’.
A search in iWeb for:
_VM _XX _P _VVI ?
1 WOULDN’T YOU SAY? 678
2 WOULDN’T YOU AGREE? 508
3 CAN’T YOU SEE? 214
4 WOULDN’T YOU THINK? 112
5 CAN’T YOU TELL? 92
6 CAN’T YOU READ? 40
7 CAN’T YOU UNDERSTAND? 39
8 WOULDN’T IT WORK? 32
9 WON’T IT WORK? 19
10 WOULDN’T YOU KNOW? 18
11 WON’T YOU COME? 17
12 WON’T YOU SAY? 14
13 CAN’T THEY MISS? 10
14 CAN’T IT WAIT? 10
15 WON’T YOU DIE? 10