You will definitely need an exit stamp from the EU when heading to the UK... Without it you are going to find it difficult to re-enter the EU next time as they will not be able to confirm the 90/180 rule. This still relies on old fashioned passport stamps to tot up the days...
Although the French authorities may have an electronic record of your exit, this is not necessarily visible across the bloc, so should you try to re-enter anywhere other than France, you will definitely run into issues.
This should be resolved, and passport stamping will cease when the EU ETIAS system goes live (eventually).