yes OSPF routes redistributed into RIP will have a RIP metric with a maximum of 15.
Because OSPF metric is much wider (16 bi integer t for intra area route, 24 bit integer for inter-area routes) it cannot be copied to RIP metric and you need to set a seed metric manually
example
router rip
redistribute ospf 100 route-map OSPF-INTO-RIP
default-metric 4
!
all OSPF routes redistributed into RIP will have RIP metric 4 in this example, the route-map can be used to filter what OSPF routes will be imported into RIP.