Canceled check or itemized receipt now needed for contributions of any amount?

I think that at 1 point in time (about 10 to 15 years ago?), to deduct charitable contributions, you only needed a canceled check, bank statement, or receipt for single contributions of more than $250.

 

But from IRS Publication 526 (Charitable Contributions), it's my understanding that now, regardless of the amount, in order to deduct a charitable contribution made to a qualified organization using a bank check, you need 1 of the following:
1. a canceled check
2. a bank statement
3. OR a receipt from the organization

 

which shows:
1. the name of the organization
2. the date of the contribution
3. AND the amount of the contribution

 

And that the same record-keeping requirements apply whether it's deducted:
1. with itemized deductions
OR
2. with a standard deduction, using Tax Year 2021 1040, line 12b ("Charitable contributions if you take the standard deduction")

 

Is that correct?