When I connect to an HTTPS website on an online web browser such as https://www.browserling.com/, is my connection still secure, or will the online web browser I use be able to see my traffic? I am aware that HTTPS guarantees that there are no eavesdroppers between the client and the server, but wouldn't the server see the online browser instead of my actual browser as the client? Wouldn't my data be decrypted on their online browser and re-encrypted and sent back to my actual browser via the online browsers HTTPS, thus allowing them access to my encrypted data?
I know no one between me and the online browser would be able to see my traffic (as long as it has HTTPS), but what about the web browser itself seeing the HTTPS data received using it?