OK, customer dba is fine with me switching recovery model to "full." Per them, their backup scripts will run fine (they are just doing standard backups). They are doing backups once a week.. I could use some feedback regarding how my log shipping might complement their backups

If I extend my "delete files" window (beyond the 3 day default) for the transactions logs to say 7 or 8 days, am I right to interpret that they could use the logs on the secondary box (my data center) to do a restore to any time in between their full backups?

Here's what the log shipping setup is on another customer's site...