I tried doing a trophy for speedrunning a specific chapter after fixing the profile issue, and I finished a level longer than the required time, no trophy unlock. Did it again under the requirements and it unlocked. I don't know if your save helps with the full game speedrun ones, however.
All 3 games' add-on speed run trophies can be unlocked if do so?
OK, I tried. It doesn't work for add-on speedrun trophies