The idea that the French were inherently friendly to Native Americans is Canadian bias. In the Great Lakes / St. Lawrence area, the French population was small and relied heavily on trade and military alliances with the various Algonquian nations of the Great Lakes and Ohio Valley to support them. Since they lacked the mainpower to do otherwise, the French operated the first-among-equals in an alliance against Anglo-Iroquioan interests the region.

When the Franco-Algonquian alliance lost the French-and-Indian War, the British decided to drop the whole "among equals" thing from the relationship with the Algonquians, and discontinued participation in ceremonies and gift exchanges that French had used to secure their alliances. Of course, the Algonquians weren't too happy about that - nor were the Ohio Valley Iroquoians either who were getting kind of sick of doing whatever the Grand Council back in New York was telling them, so we get Pontiac's War which nearly expels the British from the Ohio Valley and Great Lakes. The British were down to just three forts at the end of the war, two of which were being besieged and the third that was having its supply chain raided constantly.

While Pontiac's War failed to liberate the Ohio Valley, it did accelerate British plans to forbid colonization west of the Appalachians and the Royal Proclamation of 1763, established the border between British colonies and Indian country beyond. Which, of course, pissed off the colonists looking to expand and contributed to the American Revolution.

The British settler-colonists, unlike the French traders, had a constant need for more land. Which meant getting rid of the current residence one way or another. The traders were there to hunt furs or, better yet, buy furs from someone else who did the hunting for them, then hopefully make enough money to return to France and live comfortably. So skilled local hunters were a boon to have around. The settlers were there to live and farm, and that meant they needed more land for their kids to live and farm on, and more for their kids and so on.

The French weren't entirely immune to this either. It just didn't happen much in Canada. Instead, the French settler colony was in Louisiana. There, they had an alliance with the Natchez, one of three remaining Mississippian* societies in North America at the time of colonization and the one to survive the longest. But like the British did with their own Native allies in places like New England and Virginia, the French exploited the Natchez, swindled them out of land, massacred non-combatant villages in times of war (during the Third Natchez War, which kicked off because the commander of a French fort demanded that the Natchez give him the land that one of their temples was on so he could build a plantation there, the French attacked a Tunica village that wasn't even involved in the conflict). Ultimately, the French-Choctaw victory resulted in the Natchez diaspora, with the survivors living among the Chickasaw and the Cherokee. So while the Ojibwe might have some relatively fond memories of the French, at least compared to the British, the Natchez aren't going to have many kind words for them.