Quite likely it needs a new clutch. On lots of these small Fiats, the clutch diaphragm spring wears, the fingers wear and the actual diaphragm gets stiff.
This sort of wear happen squite quickly if the driver regularly rests their foot on the clutch at stops, instead of selecting neutral and relaxing, but it still happens, just takes longer, if we are careful with it.
There have been issues with the release fork bearings in the gearbox casing wearing, allowing the fork to twist a little and lose some movement, but not had one reported on here recently, so maybe something for older boxes only.
From all the observations I've made I'm now convinced the problem lies with the clutch assembly or release mechanism. I do find it quite strange that there is no hint of "strange noises" from within though? - and although the pedal goes almost to the floor before the driven plate is freed the clutch bites ok and doesn't slip under full power - If the diaphragm fingers/release bearing were badly enough worn/damaged to give the symptoms I'm seeing, surely there would be some sort of rubbing/grating/clicking/etc type noise going on? But there's not! Your last suggestion of release lever being either bent or worn interests me as that scenario would seem to fit the symptoms better. What does a worn one look like? any chance you've got an illustration or can post a link to one? Is it the end of the fingers (where they bear on the release bearing) that wear? Can the arms bend? Can the shaft twist? The exterior release arm (the one the slave cylinder rod pushes against) looks as it should. Any help on what to look for would be greatly appreciated.
Yours in frustration.
Jock