No, the Recoverable Items Folder is not cached in the ost.
https://learn.microsoft.com/en-us/exchange/security-and-compliance/recoverable-items-folder/recoverable-items-folder
Each user mailbox is divided into two subtrees: the IPM (interpersonal messaging) subtree, which contains the normal, visible folders such as Inbox, Calendar, and Sent Items and the non-IPM subtree, which contains internal data, preferences, and other operational data about the mailbox. The Recoverable Items folder resides in the non-IPM subtree of each mailbox. This subtree isn't visible to users using Outlook, Outlook on the web (formerly known as Outlook Web App), or other email clients.