Depends on the circumstances surrounding 'remaining French'. Not losing the French and Indian War is different than butterflying the F&IW. Umbric Man covered limited loss in the war.
If the war is averted (which is possible), you have the specter of a rapidly growing (through natural birth rate) Canada and Louisiana. The population will outgrow the limiting seigneurial system, and inner colony migration will lead to French presence throughout Canada. There will be a gray area/type of presence between Louisiana and Canada which will lead to political territorial dispute between the 2 regions.
Although the OTL French presence sought to cohabitate with the natives (a policy that works only with limited French population), eventually cohabitate will take on the aura of displacement of the natives. If immigration from outside Canada remains low, the natural growth rate will make this change much less drastic than the OTL 'English' invasion/displacement. The possibility is there for the natives to have a better assimilation, although make no mistake, the native way of life in the long run is incompatible with European way of life. A longer merging process will mean a bit more give and take, but ultimately the natives will be doing more giving, the Europeans more taking.
French policy had been to limit local manufacture, although there was a metal works factory. With increased growth, that policy is not going to be enforceable, especially as the population moves away from Montreal/Quebec. If France finally gives in and realizes that the colony (actually colonies) is good for more than just fur, a middle class of shops/trade will grow. Mining may also eventually be a larger segment of the economy. A gold/silver strike will bring migration and if the strike(s), or alternate mining, is significant enough, the colony will prosper.
The OTL growth/management trend is sustainable for a generation or two, but the policies will eventually have to change.
My POD is a butterfly of the F&IW (lets say Britain is less aggressive, or France is in better shape/manages the diplomacy better, and a compromise is achieved). This means the internal pressures of the British colonies are completely different than OTL. The colonies are very populated, and will want some sort of autonomy or say in their governance, but sans the F&IW, the economic pressures, the British military presence, and much of the OTL grievances are massively changed. I see the revolutionary war is pushed down the road a generation or two. There's a lot less pressure in the pressure cooker, and it'll take longer to get it to the explosion point.
This means the world geopolitical situation is changed, and one can write a narrative in many different directions. There'll be a major European war at some point (I expect without the F&IW distracting France and Britain and associated Diplomatic Revolution, Frederick in Prussia will not be as aggressive at the time of OTL 7 Years War), but it may not encompass North America in the same manner as OTL F&IW. Pitt may be dead or not in a position to come into power.
Don't assume OTL French Revolution occurs.
Now, I'll address the population disparity between French NA and British NA. Many point to it and think it inevitable the Brits dominate the the continent. OTL, the disparity is not what allowed the conquest of Canada. What carried the day is that Britain was able to transfer armies and materials from Britain to NA, while France could not. European military power conquered Canada, not the large colonial British population. Certainly, that population and food/industry/economy helped the British, but it was foreign firepower that beat foreign firepower.
What matters for the French is not to equal the British population, but to achieve a minimal presence which prevents being swallowed. They just need to be large enough to deter attack. Canada was rapidly approaching that level. If they had held on another generation or two, especially if augmented by foreign immigration, they would be large enough to make them a tough pill to swallow in an annexation scenario.
I think without Pontiac's Rebellion post F&IW and without the need to absorb a French Canadian population into the NA empire, you don't see the Proclamation of '63. The British NA over population will be allowed to migrate westward. France claimed east of Mississippi to the Appalachians, but had no presence there. I don't think they can hold it. I envision British Ohio,Kentucky, Illinois; French Illinois,Indiana, Mississippi, Alabama; and Spanish Florida. French Louisiana will grow, as will their presence in the Great Lakes region.
I think this situation can hold well into the 1800s unless European/World geopolitical timeline intervenes. The big difficulty for France is the evolution into a new type of colony and how to manage the change.