Colour in branding: what it does and does not do
Blue does not mean trust. Colour does something more useful, and more controllable.
Your visitor does not pick dark mode on your site. It is already on when they arrive.
In a few years dark mode went from a developer setting to something the operating system simply passes along. Your visitor does not choose it on your site: it went on at night on their phone, and everything else is expected to follow. So the question is not whether you offer it, but whether your site looks broken to someone who already has it on. It usually breaks on one thing — artwork with a white background, sitting in a dark page like a lamp in your face. And a good dark mode is not your colours inverted: pure white text on pure black reads worse than the light version you already had.
Building it properly is design-system work rather than styling: every colour gets a counterpart, every image a variant or a transparent background. That is a day up front and a standing agreement afterwards.
Dark mode is not a second design. It is the same design with a second set of values.
First make sure nothing breaks when the system is set to dark. Full support after that depends on your audience: for a software product or a developer tool it is expected, for a restaurant site nobody asks.
Blue does not mean trust. Colour does something more useful, and more controllable.
Speed is not a detail you fix at the end. It decides how many visitors ever see what you built.