How to enable website notifications for Safari

Try unchecking the "Allow notifications to ask for permission to send notifications" that you have enabled, so you may get the choice of allowing or denying the sites.

Yes, seems so. Investigating further from the ?

Customize website notifications in Safari on Mac - Apple Support

says:

Change preferences for notifications

In the Safari app  on your Mac, do any of the following:

• Stop receiving notifications from a website: Choose Safari > Preferences, click Websites, then click Notifications. Find the website in the list, then select Deny.
• Change how website notifications appear: Choose Apple menu  > System Preferences, click Notifications , select Safari on the left, then change the Safari alert style and other settings on the right.
• Stop seeing requests for permission to send you notifications in Safari:Choose Safari > Preferences, click Websites, then click Notifications. Deselect “Allow websites to ask for permission to send push notifications.”
• From now on, when you visit a website that wants to send you notifications, you aren’t asked.

imho :The judgement of the feature and the way it works is a matter of opinion.

Your Mac is using an earlier MacOS version than my Mac ... things change.

The way Apple has it set up, that is the way it is ... seems to me: you switch sites off from asking to send notifications, and when sites send you notifications without having to ask first, you get to see a list of the sites, so you can choose to allow or deny the notifications from that site.

Apple Support have an article online about website notifications in Safari on Big Sur:

Customize website notifications in Safari on Mac - Apple Support

Eg: says:

Change preferences for notifications

"In the Safari app  on your Mac, do any of the following:

• Stop receiving notifications from a website: Choose Safari > Preferences, click Websites, then click Notifications. Find the website in the list, then select Deny.
• Change how website notifications appear: Choose Apple menu  > System Preferences, click Notifications , select Safari on the left, then change the Safari alert style and other settings on the right.
• Stop seeing requests for permission to send you notifications in Safari:Choose Safari > Preferences, click Websites, then click Notifications. Deselect “Allow websites to ask for permission to send push notifications.”
• From now on, when you visit a website that wants to send you notifications, you aren’t asked."

Re: How to enable website notifications for Safari

Try clicking the tiny question mark (shown at bottom right in the small "Websites" window in your screenshot.)

This will reveal more info. on the settings ... ie: scroll down to "Notifications"

eg: I have not selected the "Allow websites to ask" ...

So I do see a list of those that have asked ... some I chose to "Allow" ... and some I chose to "Deny"

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Re: ... "even get them to show up"

Sites you "allow" to send notifications are also listed in Notifications settings.