Some of the Mission knives used for E.O.D are all titanium because they are non magnetic. Their web page lists them at 47rc hardness.
To my knowledge, some titanium alloys can be heat-threated and will hold an edge to some extend.....but if you are talking pure wear resistance against soft abrasive materials, they will do rather poorly.
I had a Benchmade CQC7 in ti. The edge of the blade was coated in carbide to help it cut. Was decent but honestly, even cheap Chinese steel would hold a better edge. It wasn't meant to be a good performer, was meant to perform as well as possible while being amagnetic.
Sam makes some great swords and axes from Ti alloys. Look up MadScienceForge on YouTube. Sam and his Ti blade did really well on Knife or Death. He is @Mecha here on Bladeforums.
He has his own subforum. https://bladeforums.com/forums/mad-science-forge.941/ Prepare to have your mind blown...
