Photoshop, illustrator, two questions, printing and how to transfer a vector from photoshop to illustrator without loss?

Question

Adobe Illustrator

Hello, I'm new to this thread.
The question is, why is it so important for printing companies that everything be provided in the king or illustrator, because right now is the age of technology, it’s not modern, am I right, the main thing is that everything should be vector, the difference is from which program to send to print from an illustrator or photoshop? if everything is in a vector.
The second question is how to drag and drop the entire vector logo from Photoshop, etc., into Illustrator, or better drag it into Corel.
I tried to open the .psd file with illustrator, it opened, though it asked.
First window.

The second window, what is better to choose here?

The file opened, and all its layers, etc., but somehow it doesn’t show the quality, there are some misunderstandings, you need to edit it.
Is it possible to open somehow exactly so that there are no edits, etc.?
There are some white underlines, as it were, for objects, but not for all, and if you zoom in well, then they all disappear and there are almost no edits, that is, everything opened perfectly. What to do with it? (Although no, not all layers, but almost all layers were transferred), the text clearly needs to be written in a new way.

Answer 1

This is already some kind of your question about the vector in Photoshop. You are told every time not to draw a vector in Photoshop, but you persisted in doing so. To themselves, thereby creating a problem. And your excuse is stupid, to be honest.
Now to the question.
To get started, just try Ctrl+C, Ctrl+V between open programs.
If it didn't work well, then try exporting from Photoshop to SVG format and then opening it in Illustrator.
If it didn’t help, then it would be much more correct and better to redo everything in Illustrator.