I've forgotten chains and other metal bike parts in mineral spirits in containers for months with no effects. Having a university chemistry degree, I cannot conceive how pure mineral spirits could lead to any negative effects.
As far as: 'green' mineral spirits, I've never heard of this. Mineral spirits are solely petroleum-based, unless they've been mixed with some polar molecules including water. This would be the last thing one would want, due to the possibility of corrosion, and the fact that water-based degreasers are inherently ineffective - Chemistry 101.
Hopefully the add-on: 'green' is just some kind of virtue-signaling label, to salve the misguided consciousnesses of a specific class of consumers. As with all lubrication and degreasing products, anything 'green' is expensive and ineffective.