Also keep in mind that the bmdfilm profile from MLVApp is totally fine, you can keep it but this is not what people do, they export to cdng and use bmdfilm in the raw tab which gives horrible colors and worst than that, they sometimes use Gen 3 or Gen 4 to rec709 as a final CST node and start grading (and this is the reason why I don't want to talk about this and made my comparisons only with rec709, without tonemapping in Resolve or MLVApp, it's complicated enough).
Let me take a screenshot real quick.
Left is cdng with bmdfilm in the raw tab and a CST to bmdfilm Gen1 to rec709. Right is prores with MLVApp's bmdfilm and the same CST to bmdfilm Gen1 to rec709
This is ungraded, just the +1.25 exposure thing and a +15 tint for the cdng clips (this is common even across other colorspace/gamma settings given the appropriate CST ofc, in a sense that if I take the same screenshot with cdng with rec709 in the raw tab +1.25 exposure +15 tint vs prores with the MLVApp's rec709 profile or let's say cdng with linear in the raw tab +1.25 exposure +15 tint with a CST node to rec709 vs prores with the MLVApp's linear profile with a CST node to rec709 in Resolve, you wouldn't be able to tell where's the line, is that clear, I'm not sure).
MLVApp's bmdfilm profile is not a problem, if I compare a rec709 footage from mlvapp (no tonemapping just the plain rec709 profile) and compare it to a prores with the bmdfilm profile and apply a CST from Gen 1 to rec 709 in Resolve, it's close-ish (a little more vibrant and a slight gamma difference but that's to be expected, I guess you got the matrices made for another NLE than Resolve so the right one, maybe people on acescentral can help, idk).
edit: On an another subject, I also tested AsShotNeutral values that I derived from a CR2 I took with my camera on a cdng, thinking that it might be the cause for the +15 tint and just ended up with totally wrong white balance value in Resolve's raw tab, so that's not that but you all probably knew.