My perception about Stub routing in EIGRP was that this feature was introduced to reduce the number of queries send by the distribution router to the remote site routers (if in a wan topology), even though there is no possible route through the remote site router. Once you enable stub routing on all remote sites, the distribution router will not send any query to the remote site.
You will still need to filter routes to the remote sites if you want to conserve bandwidth and memory consumed by each remote site. You will also need to inject a default route to the remote site. To do this you can use two methods.
a. ip default-network command
b. Use a route-map/distribute-list in combination with a prefix-list or access-list.
For ex:
## default route in distribution router
ip route 0.0.0.0 0.0.0.0 fa0/0
##router eigrp 100
redistribute static route-map Test
route-map Test permit 10
match ip address 1
access-list 1 permit host 0.0.0.0
Hope that helps!
Sankar Nair
UC Solutions Architect
Pacific Northwest | CDW
CCIE Collaboration #17135 Emeritus