BDBID in DBCC PAGE command output in SQL Server

There is a famous undocumented DBCC PAGE command in SQL Server (as well as in SAP ASE) which if successful sends output to errorlog. Noticed that it has 4 main sections: Buffer, Page Header, Data, and Offset Table. The question is we notice dbid in the Page Header section. Similarly, there is a bdbid in the buffer section. Can we unquestionably say that both these ids will be the same? If anyone has experience around these. For reference: https://techcommunity.microsoft.com/t5/sql-server/how-to-use-dbcc-page/ba-p/383094 https://www.itprotoday.com/sql-server/using-dbcc-page