I think your post may have just gone down the list rather than the contributors to this forum choosing to remain silent for some undisclosed reason. I know I didn’t see it until you bumped it up just now.
There is no longer a public/published register of QFAs. A CFP can choose to add their name to the FPSB page but that is completely optional. Personally I’ve chosen not to. Similarly for another sporting qualification I choose not to have my name on the governing body’s website to protect my address and contact details.
The financial services firm you are dealing with will be under the scope of the Central Banks requirements relating to controlled functions. For example, someone providing advice is typically a “CF3” under those requirements. These controlled functions are then subject to Minimum Competency Codes. You can find the details of the list of qualifications that satisfy these requirements (for each product) under Appendix 4 of the code. All is accessible on the Central Banks website.
I hope this helps.