I have owned both at the same time. Both were no troubles what so ever.
Things I didnt like. 357 was the

chain tensioner. 361 air filter set up and cheesy plastic top handle.
Would come down to dealer support if needed. Since prices are same now.
But when the 357 was $499 new and the 361 was $589 new, I went 357.
357 56.5cc compared to 361 59cc.
Now that they are the same, for me I would be grabbing a 361 if that occasion produced it self again.
But like I said before they are in that bastard size saw for me and just sold my woods ported 357 along with the 361 long ago. I like 49cc-50cc then jump to 70cc-81cc for my uses.