Yes, it is possible for a comment or an unknowingly impeaching statement can cause a police officer or insurance adjuster to implicitly derive that the accident was your fault, so be very careful with what you say about fault in every way to everyone.  The best solution is to simply avoid talking about the debate over fault and dismissing the topic with a denial or make a statement of uncertainty as to whom the fault falls on if asked.  Nevertheless, make sure to avoid the topic and watch your words as much as possible when discussing fault.