There was an article posted in the gondola wait times thread that stated the following (it’s about the similar gondola system they were proposing in St Petersburg, but, I think the weather limitations wouldn't be terribly different than Orlando):
“St. Petersburg transportation director Evan Mory said the city worked with LeClair and his real estate company Echelon on the grant application. Mory said the city used years of research LeClair had done on gondola technology, which all points to a feasible transportation system in the Florida climate.
"It's not a danger for lightning strikes or any of the wind you'd receive in a normal storm," Mory said. "It would start swinging and become uncomfortable before it would become dangerous. Just like the highway patrol makes a decision when to close the (Sunshine Skyway) bridge in certain wind situations, there'd be a decision to close down that system."”
So, my interpretation is that it’s not likely a problem for your typical afternoon storms, probably only your much less frequent severe thunderstorms where not much else would be operating either.