It is still called dialing despite no longer being rotary phones, but also, they didn't end the ability to use rotary phones until like 2005ish. I've used one before they ended it and I still have one that I wish I could use! Never know, OP could be like me lol.
Cuz it was part of the estate and I kept it as a momento of my childhood. All the dialing a pain, especially international, so I did not try and use in my home.
Good question, I suppose it varies by company, or maybe country. At any rate I used it in the 90s (and later), so I still would've met your telco's cutoff date! Sounds like you used em too, so evidence that it is possible OP did continues to grow. There's at least two of us!
Even on modern landlines where you pushed buttons, it was still called dialing. Someone who calls it typing probably only ever called people using a smartphone.
But on modern smartphones, you probably manually enter in the phone number so rarely that they never even learned the word.
The on screen dialpad is displayed the same way as the on screen keyboard so they used the same word.