Is it possible to have text & call sounds personalized?

Have Siri announce notifications

Siri can automatically announce incoming notifications from apps like Messages and Reminders. Siri automatically enables app notifications for apps that use time-sensitive notifications, but you can change the settings at any time. To learn more about time-sensitive notifications, see Set up Focus on iPhone.

1. Go to Settings  > Siri & Search > Announce Notifications, then turn on Announce Notifications.
2. Tap an app you want Siri to announce notifications from, then turn on Announce Notifications.
3. For some apps, you can also choose whether to announce all notifications or only time-sensitive notifications.

For apps where you can send a reply, like Messages, Siri repeats what you said, then asks for confirmation before sending your reply. To send replies without waiting for confirmation, turn on Reply Without Confirmation.

https://support.apple.com/en-au/guide/iphone/iph838fd6fd4/ios

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Apple support have articles available online (links below) that may help.

You might want to select just a few to browse, or check them all out.

Re: I am wondering if there is a way to have the notifications be "text from David" "Call from Ali" type of customization...

Announce calls, messages, and more with Siri on iPhone

(Incuding notifications from apps like Messages, Reminders)

https://support.apple.com/en-au/guide/iphone/iph07c867f28/ios

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Re: Is it possible to have text & call sounds personalized

Change message notifications on iPhone

In Settings, you can set up and manage message notifications for the Messages app

https://support.apple.com/en-au/guide/iphone/iph62faab6a4/ios

Customise your Mail notifications on your iPhone, iPad or iPod touch

https://support.apple.com/en-au/HT212843

Customise website notifications in Safari on Mac

https://support.apple.com/en-au/guide/safari/sfri40734/mac

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Change iPhone sounds and vibrations

https://support.apple.com/en-au/guide/iphone/iph07c867f28/ios

Select (or change) ringtones and vibrations on iPhone

https://support.apple.com/en-au/guide/iphone/iph37c04838/ios

All the best :-)

Sorry that my reply hasn't helped.

We all have different ways of working, and I am no expert.

(We are all Apple users, like yourself, doing what we can to help each other troubleshoot.)

As I am unable to know which settings are in operation on your iPhone,

it is difficult to know for sure which settings may need changing, or what will be acceptable to you (eg Siri announcements)

Eg: In Settings, you can set up and manage message notifications for the Messages app

No. In this instance you cannot choose the actual words the notification will display..

https://support.apple.com/en-au/guide/iphone/iph62faab6a4/ios

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Other options, if you still need help.

There is a :"Get Support" link to Apple at top right on this discussion page.

or

you might want to take your iPhone into an Apple Store for help / support.

a Genius Bar reservation is recommended:

https://www.apple.com/retail/geniusbar/

or

Apple phone numbers around the world

https://support.apple.com/en-us/HT201232

All the best :-)