[skybrian]

I don’t know anything about business jets, but bad weather can result in changed plans however you fly, and especially with smaller planes. Deadline pressure is a good way for a private pilot to get killed due to a bad judgement call.

[jcrawfordor]

As a rule of thumb, the smaller the aircraft, the less its tolerance for rough weather conditions. Commercial airliners may be the most capable aircraft in regular use for handling bad weather, exactly because passengers expect to not be delayed by storms so airlines are willing to pay for all of the weather handling features, their own meteo staff, etc.