The hinges on the main frame and stem will be interesting. They are currently cast steel, and need to be very hard; titanium is a bear to machine because of galling, but is not as hard as many grades of steel. There is also a hinge pin in the joint - would that be Ti as well, or would they stick to a steel pin? A Ti pin would probably gall, and a steel pin might lead to galvanic corrosion.
Will they also stick to the heavy steel seatpost? They used to do a Ti post years and years ago(I have one; it's appreciated in value by three times since it was new, when it was fairly good value). Then they changed to cheaper aluminium (not sure whether this was due to supply or reliability issues with Ti, or just to save costs) but that was a failure, so they reverted to steel, meaning a superlight Brompton now is quite a lot heavier than a superlight Brompton from 2008.
I think you can engineer a decent Brompton-like folder from the ground up in Ti. Doing it and making all the existing components fit is extremely challenging, and my guess is that there will be failures aplenty. Think of titanium saddle rails; they are the same size as steel ones, so they have a worse reputation for breaking. They would be fine if someone were to design a new saddle and rail standard that allowed oversized rails, but no-one really wants another standard. Likewise, Brompton probably doesn't want a separate line of headsets, seat tube sleeves, handlebars, hinge clamps, toolkits and anything else that is fitted to the main frame or stem.