Especially for this scenario, since version 3.3.5 the otrs.LoaderCache.pl script has the --generate option. Run it on both nodes; and you will be able to log in just fine. You could call via a cron job or after installs and upgrades on all your nodes. But as Johannes mentioned, to do a load balanced setup which actually makes sense, it takes a lot of thought and planning. It's not something that works out-of-the box with the default setup.
I have some updates that eliminate most of the local filesystem references, but it would take some updating to get to the current release. I took the approach of referencing blobs in a database table and adding a version number column so that I can request the most current blob, then execute it. Would that be something useful? == db