Thanks for the inputs!
I’m still a bit confused by this.
I tried everything Marc suggested. Everything to Auto and I verified that there was no unwanted grade on my timeline.
I also did what Michael talked about, trying different file format exports but it was all the same.
It wasn’t until I went into color management and turned “Timeline to Output Tone mapping” to none and the “Timeline to Output Gamut Mapping” to none, that I got my exported color bars to match completely to the once I’m having in the beginning of my project.
This is definitely due to my lack of understanding of these fonctions, but I thought they wouldn’t be affecting the scopes of my exports but were only reflecting somehow in previewing. Bad me! I think I read somewhere that you should set the Timeline to Output Tone mapping to Luminance mapping and match it to the max nits of your monitor.