No. I worked as a repair tech for around 3 years. Very quickly you learn that diagnostic programs have their uses, but only an idiot places blind trust in them. I've gotten false-positives, cases where the diagnostic program missed things that were extremely obvious and just about everything in between. I've had cases where a diagnostic program gave a HDD a clean bill of health, but you can hear it making the click of death sound and sometimes the drive just seizes up and causes the computer to hang. I've seen diagnostic programs claim a HDD was about to die at any moment, but the drive kept running great for years after. I've had RAM pass very rigorous testing patterns, but the moment you try and install an OS and it goes to unpack some of the files, you get an error which doesn't happen if you swap out the RAM.
Diagnostic programs are excellent guides at helping you figure out where to direct your efforts if you're a technician, but they are not infallible and the testing programs made available to consumers tend to be rather pedestrian. I have seen battery diagnostics claim that a battery has failed, but it still works great. I've seen battery diagnostics claim a battery is fine, but much like yours, they clearly won't hold a charge. The IC in the battery is basically programmed with statistical models as opposed to any actual monitoring circuitry. Based on a sample size of X number of batteries, the company can be up to 99.7% confident that their model will be accurate and that's what they program those ICs and diagnostic programs around. The amount of power remaining in a battery is just a best guess, it's not uncommon for those values to have quite a bit of variance in them.
So long story short, all the empirical evidence is like a comic exaggeration of the giant flashing neon sign of a finger pointing directly at a specific conclusion. Clearly you don't want to accept this conclusion because you're desperately clinging to the fact that the diagnostic programs say something different, but the diagnostic programs are wrong in this case. The sooner you come to grips with this the sooner you can go out and get a new battery and move on or just take the battery out and run off of AC power all the time.