Should I display pagination if I use link rel="prev|next"?

Question

HTML

Hello!
There is a site, categories in which are divided into pages. Each page has a tag <link rel="prev|next|first|last">(depending on the page number. For example, the first one will have the tags: <link rel="next">and <link rel="last">)
For navigation, the user uses the paginator3000 script

For those who are not in the know, the layout with it will look something like this: <div class="paginator" id="paginator"></div>
That is, an empty div. There are no links to other pages inside

So, question. Is it necessary specifically for search engines to display a list of links to the next / previous pages of the site?

<div class="paginator" id="paginator">
<a href="/cat/page2.html">2</a>
<a href="/cat/page3.html">3</a>
...
</div>

Or is it enough <link rek="prev|next">?
Thanks in advance for your reply

Answer 1

I display them, so it is easier for the search engine to understand your pagination, it may seem convenient for the user, but not for the robot ...
In the end, the extra two lines in you will not harm)

Answer 2

It is better to remove pagination altogether. this is the last century)
Use js to load content.