According the their site, they claim that the 7' skip shooter is supposed to be able to handle 5k.
http://skipshooterantennas.com/Antennas/S7.html
The S7 SkipShooter® antenna is 84” long and has a proven high-performance design
that will withstand 5000 watts.
That seems like a pretty ambitious claim. I’m comfortable running 3-400 watts SSB into it, but I don’t think I’d try 5,000, or even 1,000.
You can’t tell what they mean, either...5,000 AM carrier? Or is it 5,000 CW or maybe 5,000 FM?