We do, but we're not a law firm are we. But, I find that less than 50% of the people we talk to about our services have looked at the pricing page before speaking with us and, frankly, are surprised when they find out we do publish pricing.
My advice to law firms would be to do this, but with caution. Lots of caveats about scope of work, changes to scope (project creep) etc during a matter. Or, if you do do "fixed price" services then publish and stick to, those prices.
In 2017, the Legal Services Consumer Panel found that just over one in four potential clients compares legal service providers online. As well as information about expertise and legal qualifications, clients want as much clarity as possible about fees – how much the service they need will cost and exactly what that cost covers (and what it doesn’t). This helps them make informed decisions about the options available.