I think most modelers feel that contact glue is not a good choice for wood to wood. There are a number of posts here at SoS you might want to read and maybe consider the following:
Other comments from pros
Generally, PVA glue is considered one of the strongest and most reliable options. It penetrates deep into the wood grain, creating a bond that is often stronger than the wood itself. However, epoxy glue is also a top contender due to its exceptional durability and versatility
While contact glue can technically be used for wood to wood bonding, it's generally not considered the best choice for most woodworking projects as dedicated wood glue provides a stronger, more reliable bond, particularly for large or load-bearing joints; however, contact cement can be suitable for specific applications like adhering sheets of wood veneers.