Well rather than waiting for them to do it if they are capable or willing to, you can record the pulls yourself. It isn't that hard.

Just like what Brandenlol said, depending on what treasure you are pulling, you can equate one rare to based on a certain number. Make sure you give a margin of error of 10 multiply the number of rares since the certain number for a rare is an average so you migh understate or overstate how much you actually put into the treasure. If you are very active, you can count the the free pulls by dividing the number of days you believe you had the treasure open to you by 2. I had to do this for kage treasure since I didn't know exactly how much was needed for a SR.

So you don't have any clue when you started getting a treasure? Don't remember which season at least i.e. summer, spring, fall? I hope you remember when we got GNW treasure since it wasn't that long ago if you started before then, or at least 55 free pulls ago. All you have to do is guess which month then guess the pulls via the average per treasure. Even if you have little clue, It's better to count the ones you know now rather than refusing to do any work and just want Oasis to do the work for you (if they are willing to). If you are wondering about kage, it should take you 6-7 months of only focusing on that treasure to get a super rare.