Lets imagine it is 1990 and the tool is e-mail over snail mail. Would you want leadership of a company to allow every employee to find out on their own if email is better way to communicate despite the spam, impersonal nature, security and myriad other issues that patently exist to this day ? or allow exceptions if an employee insists (or even shows) how snail is better for them?
It is hardly feasible for an organization to budget time for replicating and validating results, form their own conclusions, for any employee form who wishes to question the effectiveness of the tool or the manner of deployment.
Presumably the organization has done that validation with reasonably sized sample of similar roles over significant period of time. It doesn't matter though, it would be also sound reasoning for leadership to take a strategic call even when such tests are not conducted or not applicable.
There are costs and time associated with accurate validation which they are unable / unwilling to wait or even pay for, even if they wish to. The competition is moving faster and not waiting, so deploying now rather than wait and validate is not necessarily even a poor decision.
---
Having said that, they can articulate their intent better than "write about how it made you more productive", by adding more description along the lines of "if not then explain all the things you have tried to try and adopt the tool and what and how it did not go well for you/ your role"
Typically well structured organizations with in-house I/O psychologists would add this kind of additional language in the feedback tooling, line managers may not be as well trained to articulate it in informal conversations, which is whole different kind of problem.