Either can work, it really depends on how you want the DR site to function.
routing
failover the advertisement of the existing prefixes
Active/Active advertise the same prefixes
change DNS during failover to different prefixes
Data sync
method used and frequency of data updates for applications
bandwidth and time needed for those transfers
Method of failover for the applications
Once you decide on the network and application failover methods then you can design the Data center intereconnect and networking stategy for your needs.