The majority of paint these days is water based they can give 3 coats in a day in the warmer months,putty has linseed oil in it and takes a long time to go hard but I’d say that’s rubbish about the paint.
Have you ever come across a problem cleaning windows recently painted where the paint is dry for a few days. Just had a customer painter advised not to clean the windows for six weeks! Never had a problem in nearly 30 years myself, in fact done a few builders cleans removing paint the next week.