When Search within the Current View is activated in Advanced Vault Settings the View Columns could be kept instead of showing the Standard Columns for the Search Results. Would make sense in my opinion.
Thanks for the feedback, we have an existing improvement request on this (ID 128390). I've added you as requestors and hopefully this will be considered as a future enhancement.
You can add myself and all my clients as well. This would be really useful for everyone.
We would like to join to the requestors.
It would be a good feature :)