Plastics like other materials will out-gas especially when new (that new car smell). Raising the temperature (summer weather) will also increase the rate of out-gassing. Keeping the items in an airtight tote, means those volatile gases have nowhere to go. Without some knowledge of the chemical composition, it would be hard to say if they could damage anything else in the tote. It is certainly possible that they could leave a deposit on glass, so any lenses could develop a slight haze.
I have not experienced anything as bad as you indicated with the grips. I also keep my lens collection in ventilated boxes under our bed (luckily I don't think the wife realizes how many there are under there).