Please remove the "Rho::RhoConnectClient.isLoggedIn" code from your /app/index.erb page.
Also search for the word RhoConnect and remove or comment it as well.
After posting, I created a totally new application with the option --norhoconnect to be sure no RhoConnectClient code will be added to the project, but the problem still persisted. However, I have only noticed these log messages when running on RhoSimulator, but not on Android emulator.
RhoConnectClient should not affect your off-line functionality.
When you enable sync in your model, the Rhoconnect will activate it provide offline-online sync automatically.
So don't worry about it.