i recently rebuilt the right single hookup cylinder on my 630 (same setup as yours) and had no issues but both cylinders are single acting with no return........i suspect your right cylinder hose and line have no oil in them and no way to get oil except what bleeds by the left cylinder seals .....so i would do a oil fill on the right cylinder and hose and then cycle it several times to push out any small amounts of air left.
specificly i would jack up and block up the moco so both lift cylinders were fully extended with no weight on them ....then with both extended i would unhook the hose at the top of the right cylinder and pour fluid in the top of the right cylinder and fill it....and pour fluid in the hose and fill it ...reconnect and then cycle several times under load ....
be safe and i hope this makes sense
specificly i would jack up and block up the moco so both lift cylinders were fully extended with no weight on them ....then with both extended i would unhook the hose at the top of the right cylinder and pour fluid in the top of the right cylinder and fill it....and pour fluid in the hose and fill it ...reconnect and then cycle several times under load ....
be safe and i hope this makes sense