DHCP is actually better - it does not interrupt the connection.
DHCP Advantage:
Clear, simple, less demanding on network resources, cheaper.
1) The simplicity and speed of configuration of termination devices and the client part.
2) Transparency of the mechanism of work and diagnostics.
3) The minimum size of service headers, CPU loads is high speed (According to personal experience, in the wifi context, during peak loads the difference is 2-3 times).
4) Easy to scale.