It depends.
For me it was waaaaaaaay different. I went from a 26' to a 32' TT. Still not use to it. I towed the same trailer for over 20 years and this new trailer is WAY different. Harder; no, just different.
My new trailer tows WAY heavy. And I have to be careful about how much it cheats when I make a right or left hand turn. The new trailer cheats a lot more.
The bottom line for me is when you do something for 20 years and change it; it takes some getting used to.
About sway. If you have proper tongue weight and if set up properly it will not sway and will pull every bit as good as a 5er. If not, things can get ugly. Do you due diligence and you will be fine.