Same problem with the "FLASH USB DIRECT Programmer" on https://www.cypress.com/documentation/software-and-drivers/flash-usb-direct-programmer-1.
However, this problem is not consistent over all download links on the website as links to PDFs work without needing to accept Ts&Cs, and CMSIS DAP downloads on https://www.cypress.com/documentation/software-and-drivers/cmsis-dap-spansion-cypress-fm-link which are ZIP files.
Luckily the observant reader will have identified the back door URL format by now... progress can now be made.
Thank you for your post and for including the URL's. I have escalated this internally and have opened a ticket with our web team.
Either myself or another Cypress employee will follow up with you on this topic.
Best Regards, Sara