Setting up Jenkins is a simple matter of downloading the latest .war file and java -jar'ing it. It comes with all the basics of what you need, including its own web server. So there's no need to fiddle with things like databases or web servers... if you don't want to. Most people at a given organization don't need accounts on their Jenkins instance. In most cases, only a couple people who are able to create and manage its various jobs need to log on. Most other people just want to see the status, maybe download the latest successful compile, or look at the logs of a recent failure. These are things most anonymous users can do.
Bugzilla isn't quite as easy to setup; you need to assemble the pieces mostly yourself. It also doesn't have its own built-in web server (which is, really, its primary function, no?) so you have to integrate it with Apache or Nginx. For basic installations the defaults are fine, and it comes with functional user management and a simple database if you don't need "production" quality. Most people contributing to a project should have a Bugzilla account, and Bugzilla has good enough user management "out of the box", especially for a small installation.
Gerrit requires everyone who interacts with it to contribute to a repository to have an account. You wouldn't want any anonymous user to be able to make changes to your patch flow? Plus you do want to track everyone who does make a change.
Sadly, Gerrit doesn't include any sort of built-in user management. Not even a dumb, "don't use this for production environments", user-management system (like Jenkins or Bugzilla). Gerrit assumes, and requires you to use, an external identity management system (such as having your users use their google or facebook credentials via OpenID; a company-wide ldap installation; or the user-management features from a web server).
If you're part of a large organization, which has a dedicated and capable IT team, these issues aren't of any concern to you. All you need to do is to decide that you want to use Gerrit. Setting it up and managing it is someone else's problem. But small companies can benefit from distributed code review too, and if nothing else, at its core Gerrit is a solid source code repository server.
With a small team there usually isn't a dedicated person who is responsible for managing servers. You have developers, you have sales people, you have a CEO, you have managers (there are always managers), and you have someone doing the financial stuff. But there's rarely a dedicated IT person who is able to setup a Linux machine, configure, and manage various services (Bugzilla, Jenkins, Gerrit, etc). That job ends up falling to some developer who would rather be writing code than configuring servers.
The reasons why Gerrit doesn't do user management are obviously religious. Gerrit does include its own "don't use this for production installations" database (h2) and provides all the ODBC connectors you need to connect it to any real database you can imagine. So if it's already doing database stuff, why not just add a user table? But it's even worse than that. Pure Gerrit doesn't even allow you to specify permissions at the user level, only at the group level. This means you have to create a group for every meaningful permission you want to assign. At a small-ish installation this means that you end up with lots of groups all of which only contain one person.
Fortunately there is an easy-enough-to-install plugin which allows you to create a group for every user, so creating a fine-grained permission scheme for a small team with a group of projects is relatively easy enough, but is awkward that you still need to manage users that are users, and users that are groups.
Unfortunately there isn't an easy-enough-to-install add-on for user management. But, if you fetch the Gerrit sources, you will find a perl script called fake_ldap.pl in its contrib folder. fake_ldap.pl makes it easy to generate a file which your Gerrit installation can query to get the basic information regarding your allowed users. It does require you to manage this file by hand yourself outside of your Gerrit system. But, in my experience, provides the easiest way to manage the users of a small Gerrit installation.