Hello,

To begin, I want to extend my heartfelt apologies for the delayed reply, 

which is due to an unexpectedly high volume of inquiries. 

We truly value your patience during this period.

To allow another user role ( other than Administrators) to see the tables in back-end, 

you can enable "manage_options" capability through User Role Editor:

Then this User Role will also be able to see and edit tables in back-end.

We just advise caution,  to double-check all the access that this User Role will have when you enable them to have the manage_options.

You can check here on the official WordPress documentation, to see more details about the permission :

https://wordpress.org/documentation/article/roles-and-capabilities/#manage_options

I hope that helps.

Thank you.