I find these "similarities" to be merely coincidence. French hadn't been in Egypt until the time of Napoleon. Latin definitely would have had a more profound influence, and even then, it wasn't ever as strong as Greek, for the administration, laws, and commerce of the Eastern Roman Empire, i.e. Byzantium, were always conducted in Greek. Arabic was the only strong contender with Greek's influence on Egyptian.
Here are examples of some of these words compared to the proper Latin version of the French words:
Ⲫⲏⲟⲩⲓ(Phēoui)- Fides, Fée
Ⲙⲁⲩ(Mau)- Mater, Mere
Ϭⲱⲙ(Tchōm)- Campus, Champ
Ⲙⲏϯ(Mēti)- Medio-in-loco, Millieu
Ϫⲁⲥⲏ(Djasē)-Sinistra (gauche is a borrowing from Old German)
Ⲗⲁⲥ(Las)- Lingua, Langue