I stand corrected, I went on Google and the picture look the same.

No, CT and Rogowski are not the same. They are totally diffrent devices in terms of construction and the nature of signal they generate. The only simillarity between them is both are employed for current measurement. Kidly investigate the issue further to understand the difference. A quick look at google might not be sufficient. -:)

Thanks & Regards,
Prahlad Purohit