First, Macs often use a non-standard display gamma for Rec.709/SDR media ... so I would never assume that QuickTime player is 'accurate'.
In fact, no camera made ... period ... has an actually quantifiably accurate screen. Not even the $70,000 Red, Arri, and Sony rigs. When they want that on-set, they include a calibrated and profiled field monitor.
Premiere does follow the standards as best it can given the wild variables of Real LIfe. As Premiere can't know exactly what your monitor setup is.
Professional colorists of course have more invested in their Reference monitor, the breakout device feeding it (NEVER from their GPU!) and their calibration gear than you and I have in our entire computer system.
For the rest of us, you first need to set the Mac up as correct as possible. If your monitor setup in the OS has the option for "HDTV", that will actually give you a fairly decent Rec.709 setup with correct gamma. The Rec.709 setting will give a "brighter" gamma view, sadly, as Apple chose not to follow the standards.
In Premiere, go to the Color Workspace, Lumetri panel, Settings tab. Set the Display color managment and Extended dynamic range options to On.
Setting Project setting for auto detect log and Sequence setting to auto tonemap will make sure that the color space of the file gets remapped safely via algorthms to the sequence color space.
Set the Viewing Gamma to what you want ... you might be more comfortable on a Mac with the QuickTime (1.96) setting, as that will provide a closer match to QuickTime player on your Mac outside of Premiere.
But understand ... then it will be graded such that it will be pretty dark on a gamma 2.4 broadcast compliant screen ... that's ... why the Mac choice for Rec.709 has made such a hash of things.
Also, set the Sequence color space to what your deliverable needs to be ... Rec.709/SDR or probably HLG/HDR. Use presets that match the sequence color space. So using export presets with HLG in the name for HLG sequences, but never for Rec..709/SDR sequences. The export presets without the HLG or PQ added to the preset name are all set for Rec.709/SDR.