I would suggest that Vichy is both a good and a bad example of looking at how the French would govern their empire, in terms of predicting it (and not good in actually being good things, or bad in bad things, just to adumbrate how they would go about it).
Good:
I doubt that the ideas of the French encouraging assimilation is going to be the case. There were exceptions, but broadly speaking the French left was the main advocate of assimilation and the French right of association. Vichy was heavily anti-assimilation and went so far as to strip French citizenship from individuals in the colonies (there were not many of them in any case), and while a homegrown fascist regime might be less rigid on such lines, I don't think they would pursue an assimilationist politic.
Vichy was interested in glorification of colonized people tradition, and did so in Madagascar and Indochina I certainly know. This is likely to continue. The various peoples will be taught that France is here to rejuvenate and restore their ancient glories, but that they need to evolve in their own milieu rather than becoming half-French, half-Native métis. Peasants and traditional values will be trumpeted to the heavens.
Vichy was intensely procolonial. I think it likely that any French Fascist government would be so too, as opposed to the more traditional French conservative right. A focus on national grandeur, national regeneration, decisive leaders, and strength would imply the need to pursue a more vigorous colonial policy. What this would reflect - more big colonial projects (bigger Projet du Niger, Trans-Saharan railroad, the big proposed Indochinese land resettlement ideas, defense projects throughout the empire like the naval base ideas), bigger Metropolitan education and focus on the colonies, or just harping on about it more, is up for debate, but the colonies would loom larger in the French government's policy making.
You are still likely to see a purge of liberal and socialist governors throughout the colonies.
The Caribbean colonies will not be granted full departmental status, unlike how they were in the early IVth Republic.
Almost any French fascist government will pursue a less liberal, more corporatist, and more state-focused development policy.
The obsession with the colonies will make them loath to give up any part of it, so probably nothing like the concessions to say, Turkey which occurred under the late IIIrd Republic.
Bad:
Vichy was under serious stress to try to wring blood from stone to try to get something out of their colonies to restore France with the motherland being under occupation. This led to things such as the re-introduction of de-facto slave labor, with corvée in Madagascar at the least and doubtless other colonies. Without this same situation, the French have no real need to be as heavy handed: they might be more heavy handed than the IIIrd Republic (Which could be, like any colonial power, very morally questionable itself at times), but they won't be as desperate. They will have more resources which will enable them to do more damage with their projects though, like they could actually seriously go ahead with the Trans-Saharan Railroad which Vichy had started on, and doubtless slaughter thousands or even tens of thousands of people building an economically (if not strategically) useless railroad across the Sahara. It'll look really cool though, gotta admit that.
The Germans have not been legitimized, and I would say that the likely French fascist parties to gain power would either not be advocates of state-practiced Antisemitism against French Jews (foreign Jews is an entirely different story, as Colonel de la Roque - debatable whether he is a fascist but I think him or his ilk are the likeliest to seize power - himself had made clear, viewing French Jews as part of France but foreign Jews coming in in vast numbers as refugees in the 1930s as dangerous, unwashed, uncivilized, strangers), so one is unlikely to see the obsession with finding them and discriminating against them in the colonies. You might see personal action undertaken, since the fascist masses were not always as principled, but not the state directed discrimination.
Vichy continually stressed the weak and decadent Republic which had collapsed in 1940 and that it was being restored in the colonies by Vichy. A French fascist government will stress the Republic as decadent to some extent, but will do so less, since it will A) Not be as easy to say that, and B)No need to shout at colonized people how weak you are without a good reason.
Vichy emphasized its role as a peace maker and arbitrer in Indochina, since it no longer had the military force to actually act to defend it. France will take a much harder and more "conservative" line there, and its policy will be less radical in regards to dramatic changes in education of elites and instilling local nationalism there, since its hand won't be forced.