"Besides, i want to have the freedom of using webmail and no dektop mail
client."
That can be done. You can even move between the two without issue. It's
called IMAP where your messages stay on the server. Plus, the use of webmail
means both an email client and the web mail interface are both accessing the
same store of emails.
"I meant using a search engine and finding some information in the html
archive of a mailing list."
I suppose it depends on the mailing list software but GNU Mailman has a
threaded view too. An example
http://lists.nongnu.org/archive/html/emacs-orgmode/2017-12/threads.html and
you can see that Nicolas posted a message, Eric replied to it, Nicolas
replied to Eric, Nicolas replied to Eric's response to Nicolas's message,
etc. But yes, as Magic Banana showed, the interface in Mailman version 3 is
much nicer.
I imagine the driving thing behind that is the young people of today seeming
to live inside the web browser and deeming everything outside of it to be
verboten.