Adjective-heavy copy is cheap. Numbers, constraints, and named methods are expensive because they require real work. That is why they convert.
We ask clients for the unglamorous details. What was broken. What we tried that failed. How long it took. What the buyer can inspect for themselves. Those details become case pages, not slogans.
Proof also belongs in the small places. A caption under a photo. A line in an ad. A footnote on a service page. Scattered well, it makes the whole site feel honest.
If you do not have a famous logo yet, use process proof. Show the audit. Show the timeline. Show the before and after of a single metric. Fame is optional. Specificity is not.