A: When would you schedule a meeting with XYZ?
This is a hypothetical question, the speaker is asking what conditions are required in order to schedule a meeting. Person B might reply
B: I'd call a meeting if I thought we couldn't meet our deadline.
Likewise in the OP's sentence example: When would XYZ Bank release the results of clerks? the person inquiring wants to know what are the necessary conditions before the bank releases the results. It seems to imply that the bank doesn't always release this kind of information. Would is a modal verb and can be used as a past form of will; to express the idea of ‘future in the past’ e.g. The bank would send their results every month; and in conditional sentences.
A: When will you schedule a meeting with XYZ?
The speaker believes a meeting is inevitable, it is only a question of ‘when’. The auxiliary will is often used for making predictions in the future, and taking decisions at the time of speaking.
B: I'll arrange one for next Monday
The OP's sentence
When will XYZ bank release the results of clerks?
The speaker knows that the results are due to be released, he doesn't know when.
I believe the OP is confused when would is the more polite version of will in requests. Compare
- Will you meet me tomorrow, please?
- Would you meet me tomorrow, please?
The British Council website also provides this example
We use conditionals to give advice:
- Dan will help you if you ask him.
Past tenses are more polite:
- Dan would help you if you asked him.
In both examples the second sentence (would) sounds more polite but the meaning is identical to the first.