Albums in iTunes Store search results do not open on iPad

I can replicate the behaviour that you describe. This does appear to be a bug - at least in the current version of iPad that I am able to test - at the time of writing, this being iPadOS 26.5.

It would be in your own best interests to submit a Bug Report to Apple via its Product Feedback portal. For iPad and iPadOS:

Feedback - iPad - Apple

Every Bug Report counts - as Apple might not assign resources to investigate and resolve the problem until a sufficient number of reports have been received,

When submitting a Bug Report, ensure that you include details of your iPad model and installed version of iPadOS within the body-text of your report. Don't rely upon the pick-list alone - as this rarely includes the current versions.

You're very welcome. Hopefully your submitted report will help to get the issue resolved.

Please don't hesitate to submit additional bug reports via the feedback portal until the problem is resolved - in particular if a new OS-update does not see the problem being corrected.