I've a brand document with assigned colours, but the colour profile is set to 'Display', when creating any new assets do i keep this colour profile or switch to Srgb?

Hi everyone, another seriously newbie question here from a new designer.

I’m working on creating new assets for a digital brand in illustrator. The original brand doc has all our colours, styles etc laid out, however the profile for the brand doc is set to Display… my understanding is that for digital, you should really utilise the sRGB profile, is that right? Colour settings are Euro Gen P 3 across us all, and obviously RGB for digital. Our CD has specified this too...

I ask because obviously in Display the colours are brighter and more vibrant, whereas they’re less so in sRGB and export far more muted for pngs. Jpegs not so much but we have white backgrounds that really need to not be there. I’ve not outright asked the designer why he’s chosen a display setting, fear of sounding super stupid I guess...

Really just a sense check from outside my team as i’m getting conflicting information from the two senior designers in my team whom i’m being mentored by and it’s noticed that my outputs aren’t as vibrant for this brand.

Thanks!