No clue how hard rifle actions are heat treated to......I'd guess pretty soft at least by knife blade standards, but you absolutely cannot get Ti heat treated as hard as steel. There's a reason no one makes knife blades from titanium unless they are looking for the anti-magnetic properties. For a long time Titanium has been used in general consumer products almost as a marketing gimmick in applications where it provides no real advantage but as an excuse to charge high prices or get the consumer to believe it's a "space age" product.
While Titanium is much harder to grind deeply than steel, it's oxidation layer is much softer, so it's much easier to have surface scratches etc. Does that mean increased surface wear at the lugs etc......maybe but I doubt too many people are putting tons of rounds down ultralight builds to notice. Rotational/cam surfaces on dissimilar metals are often an increased concern for galling.
That said all metal comparisons unless you are talking specific alloys with specific heat treats vary so widely in strength/hardness/etc. that they are huge generalizations.
If it was me I can't see any reason to use a Ti action these days, but if you absolutely need to spend the most $, and drop that last ounce it might be your jam. At least until they start making beryllium actions. Back in the 90's - 00's the mountain bike world played with Beryllium and Magnesium frames, neither stuck around long.