The Skyliner shuts down when wind hits a sustained 35 miles per hour.
It will run in the rain. Lightning, no. Last place you want to be if there is lightning in the area.
You feel acceleration when you take off. While in the station, the cabins move on a track propelled by wheels similar to your garden tractor at a slow speed to allow boarding etc. The wire moves at a faster speed. Your cabin will accelerate to hit the wire but it’s still moving slower than the wire. When you hit the wire, your accelerate causing the cabin to swing. Which is why it’s important to remain seated. Just the reverse happens when you land.
If it’s windy, for most people it isn’t bad if you keep moving. If the line slows or stops, you will sway and bounce a little bit.