Most commercial grades of Titanium can be cut with common tools. The tools will dull faster, but it's not impossible.
I suspect a lot of the stories about Ti rings being impossible to cut are coming from people who confuse Titanium with Tungsten. People get exotic metals mixed up all the time.
On the other hand, if you pulled it from the scrap bin you may have gotten some extreme aerospace grade of Titanium that really is difficult to cut.
Most of the rings referred to as Tungsten rings are actually Tungsten Carbide. Tungsten Carbide rings, by comparison, is VERY hard to cut. You basically need a diamond blade/saw/grinding wheel to cut through TC.
I wouldn’t have imagined that a fall off of the second step of a ladder could result in the destruction of a 40 year old wedding ring either, but here we are!
Plus a new "can't hurt myself with this if I tried" ring for any time spent outside.