There is absolutely no need to squeegee a film.
Squeegeeing film has more to do with an obsessive compulsive disorder than anything even remotely necessary.
Not squeegeeing is the way to go. There’s no reason good enough to warrant touching a swelled and super sensitive, wet, emulsion. Ballerina fingers, or not.
Actually, in machine processing there are multiple good reasons to use squeegees. I've spent years with a QC department overseeing what is known as "process control," chemical regeneration, and effluent control in processing labs running miles of C-41 film every day via continuous cine processors. Now, if one ignores the chemical costs, energy usage, and effluent regulations, then I guess that yes, squeegees wouldn't be necessary.
In the sort of machines I was most familiar with, cine processors running around 50 ft/min, continuously, for C-41 we ran squeegees after developer, after bleach, after the wash prior to fixer, then between every fixer tank, and finally, as film leaves the final bath. About seven sets of squeegees.
Now, we put a lot of work into machine (including squeegee) maintenance, all the solutions were recirculated and filtered, and a 20-foot "scratch test" was run (and carefully evaluated) every morning before startup. It was pretty rare to get a significant machine scratch. How often? I can't say for sure, or even with any certainty. But offhand, I'd say not more than once a month or two; probably less. So maybe a processor scratch every hundred miles of film? To repeat, that's about seven squeegees in the machine, and, as a very wild guess, a hundred miles between scratches on production film. We ran all long-roll film, but for an equivalent of 135-36 film (about 5 feet/ea.) this would be roughly a hundred thousand rolls.
I should point out that this had been on Kodak professional portrait films from VPS films up into Porta 160 - the Portra films, especially, were known for resistance to processor scratching. And certainly there were periodic camera scratches, etc. But scratches due to a squeegee? Very rare.
I was gonna give a rundown on why each squeegee was needed, but decided it's probably "too much information." But I'll be happy to fill in if anyone is interested.
Ps, nearly all minilab processors also use "squeegees," albeit in the form of rollers (film is squeezed between rollers). So these machines get a lot of the benefit without squeezing between rubber blades.