A 'revitalised' dead battery will start to loose it's voltage as soon as you apply a multimeter to test it. A battery with most of it's 'life' left in it will not.
No I don't agree, you're wrong.
A multimeter from anytime in the past 15 years will likely have an input current when measuring voltage of the order of nanoAmps. (Input resistance upwards of 100 megohms on a 2v range). This is not sufficient to make the terminal voltage drop noticeably for at least minutes. An older cheap multimeter will act faster but the resolution of an analogue moving coil device is lower too.
The way batteries behave is a combination of simple physics and chemistry, and if you don't draw any current from a not quite totally dead one (nanoAmps is effectively none) it will have the same voltage as a brand new one. It's when you draw current there's a difference in behaviour, which is why a properly thought out tester will work and a high impedance digital multimeter won't.
I don't doubt you have experience with batteries, but you're not the only one. A boring but necessary item. I can only think you use some form of voltmeter to measure the things which draws a significant current. I had a voltmeter in the garage (until I dropped it and broke it) which my grandfather gave me. Read up to 9v. A hot wire type which had a resistance of about 1 kohm. I'd used it for years to do exactly what you describe - judging the state of batteries by how fast the reading fell.
I've just tried an AAA "Sunrise" branded battery out of the box we have for batteries for recycling. Using a 1990ish
Maplin multimeter. It read 1.667v out of the box. Current into the 2mA range read 0.003, dropped away fast to 0.000. Back on 2v, first reading 0.004 and rising very slowly. Presumably it'll be back to full open circuit voltage sometime next week. OK, a one-off but what I'd expect. For comparison a brand new AAA Duracell measures 1.705v, 9.54A on the 20A range for a second, 1.705v by the time I switched the meter back.
(I'm not suggesting my old multimeter is accurate to anything like its precision by the way, but it's typical of an uncalibrated device of its type.)