Mix in some PB Blaster instead of the Lithium grease.You mean your's actually goes down on it's own?
I spray the hinges on mine at least twice a year with lithium grease and at best it has only taken less effort to open it. Never just dropped down like it should.
The PB will get in there to loosen it up. Then after it moves well, you can spray the lithium in there to keep it moving.