As you probably know, grease is wrong for the swingarm and will not probably lubricate the bushings. Unfortunately, once grease is used, there is no easy way to get it out and adding oil does no good because the grease won't allow it to seep into the bushings. I had the same issue when I first bought my current Commando in 2006 and had to disassemble the swing arm and clean out everything. I decided to install new bushings and swing arm clamps at that time.
I reassembled everything and then lubricated the swingarm using the fitting and a grease gun (with engine oil) whereupon I blew out the end caps and stripped the threads on the long screw. What a mess!
When I installed the end caps and new screw, I lubricated the swingarm by removing the bolt at the top of the swingarm and used that hole to fill the SwingArm with engine oil. Once that was full I reinstalled the bolt.
An easier way is to orient the SwingArm end cap with the fitting so that the fitting is at the 12 o'clock position. Then, when you want to add oil, you can remove the fitting and use a hypodermic syringe to add oil as necessary. This method works fine though you can't add as much oil as you can via the bolt on top of the SwingArm.
ONE MORE method where you can safely use a grease gun (with oil) is to use the 'grease fitting" AND remove the bolt on the top of the swingarm so any pressure can be released instead of blowing out the end caps. It's faster than just removing the bolt and filling using the bolt-hole.