Licensing restrictions for a WordPress site hosted online

I am a noob with regards to software licensing … this might seem like a very silly question.

As per this page (https://www.ads-software.com/about/license/) on WordPress official website, WordPress is licensed under GNU GPL version 2.

I went to the FAQ section for GPLv2 here (https://www.gnu.org/licenses/old-licenses/gpl-2.0-faq.en.html#UnreleasedMods) …. and looked over the answer to the question :

A company is running a modified version of a GPL’ed program on a web site. Does the GPL say they must release their modified sources?

The latter half of the answer to this question seems a bit confusing to me, particularly the phrase:

However, putting the program on a server machine for the public to talk to is hardly “private” use, so it would be legitimate to require release of the source code in that special case.

If I host my WordPress site with any web hosting provider, by default the source code is private … it is not accessible to all the people interacting daily with the site. And I have no intention of releasing the source code. With regards to the issue mentioned in the GPLv2 FAQ above, does this practice violate GPLv2 ?

Note: I will be making my own theme for development (and license it under GPLv2 as well).