Do a "report_timing -setup -npaths 2 -detail full_path -file "TQ_2worstpaths.txt" and post the output file. IC delays dominate nowadays, so the ratio you're seeing doesn't seem overly egregious, but hard to say without seeing the placement. More often than not, the values are correct and the fitter is doing a good job. You need to take off ~2ns of IC delay, which is unlikely.
Also note that just adding a LogicLock constraint usually doesn't work. The fitter already knows what is critical and is working on it, so just putting the critical hierarchy into a smaller box more often than not breaks things instead of fixes them, as it just makes things more difficult.