Rec709 and Mavic Air

Hello,

I shoot my videos with an Osmo+ and a DJI Mavic Air. The Osmo+ already shoot in Rec709 but as I understood that not the Mavic Air.So here’s my question:

Do I need to convert the footage from Mavic Air on Rec709 (with a lut) before color grading (In DaVinci) and make all footages look the same?

Thanks and lot for your kind help!

Sebastian