I can't say I've ever seen Rams games on the local channel 6 weeks in a row. My local stations are in Fresno. Again, they're showing the Rams this weekend. So far I haven't missed a game without streaming. They won't show the Rams if they're at the same time as the 49ers.
The next time they play at the same time is week 11. We have the Seahawks that day. I'll have to stream that one. So its possible I'll be getting Rams games through week 9.
Looking at the schedule there are 4 games that conflict with the 49ers. Seems like the Rams are airing on the local channel as long as they don't play the same time as the 49ers. I suppose I can't complain about having 13 games on my TV.