I don't know about you, but I have never in my life picked up a saw that someone else on the internet 6,000 miles away set up for me to use. I choose my own bar and chain. Oftentimes I choose my own bar because I like how it balances on my saw. If I gave you the weight on my chainsaw - that information would be worthless to you, just as yours would be worthless to me. Is this how you set up your 361's?
I somehow doubt it. That is my logging saw for softwoods on Irish mountainsides. I find with that set up, I can easily cut 99% of the timber I run in to, and it doesn't tire me like a 440/372 does with a similar set up.
The simple fact is if you want to weigh a saw 'ready for work' you can only weigh it ready for the work you do. It makes a lot of assumptions. It assumes no one else wants to use a saw differently from you, and that no one else can do math. If you weighed the bar, it would get us closer to knowing what the saw weighed so we could use our own bars for comparison, but you haven't even done that. You could have short filled the fuel and oil as well.
Yes, in the scheme of things for you, it probably doesn't matter. You only care about the weight it is how you use it. That's cool if you want to stay that route. However, for the rest of us, it doesn't matter, either. Because the information you 'shared', was not any information any of us can use unless we set up our saws exactly like you do. We can not compare it to factory weights to see if the marketing is bunk(or at least have an idea where it lies). We can't compare it to other chainsaws, since there is absolutely no baseline. And we can't compare it to our own saws.