Putty is great and has been for a very long time. Always glad to see it still in active development. Though, for Windows, once I found MobaXterm I never looked back. Of course on the Linux side nothing to me beats tmux or terminator.
And the SSH part of MobaXterm is based on PuTTY
Yes, and unfortunately you have to use the version in there (you can't upgrade nor use another client). Otherwise I love mobaxterm and bought a few licenses.