Two example days, when I was mining with an S3. please note that I do not mine constantly, its a hobby, so I have picked two days when I'm sure I mined all day
18th nov
384195   18/Nov 19:04   24.82829424   329.586G   178hr 36m 31s   2.20PHs   0.00%   13.514M   90.27GHs   0.00101805
24th Dec
389909    24/Dec 02:59   25.39503317   469.643G   100hr 41m 17s   5.56PHs   0.00%   4.522M   53.58GHs   0.00024451
First thing I noticed is that on the 18th when the pool was only 2.2ph I got more that 4x the reward than I did on the 25th when the pool was 5.56ph, I can see and understand that as the pool gets larger my S3 Â is a smaller and smaller share of the total ph and so get I a smaller share of the total reward.
You say that you mine off and on, you picked two "days" that you mined all day, but did you mine the full 5N prior to those blocks you picked? The answer is no. If you look at your average hashrate for those two blocks you picked you will see the average rate for the first one was 90ghs the second was 53ghs, so my guess is that you mined for nearly 1.7x longer during the 5N of the first block.
You can't compare blocks, you would need to compare something like a full week or month, and would need to mine for the same amount of time.
The other pool you were using was probably PPS, and for short duration would appear to payout better, but if you looked at a longer timespan it will be less then you would be getting here (as long as our luck stays as good as it has been).
Ditto.
"You can't compare blocks, you would need to compare something like a full week or month, and would need to mine for the same amount of time."
Looking only at the Your BTC columns between different payout is comparing apples to oranges.
Although my favorite is BTC.  The other two significant pieces you are overlooking there on the snapsot.
N Range = can be seen almost like to as 5Nd.  It will shink with pool speed.
N Average = your avg hash over that range.  Should equal your equipment speed.
The S3 is OOB capable of ~440GHs theoretical. Â
Samples showing N average at 90GHs and 53GHs. Â
From your two sample points,
100 vs 178, rounding up to about 2x as fast payouts (kind of).
53 vs 90, rounding down to about 1/2 the effort (kind of).
plus one difficulty adjustment that will drop profits by 18% (deciding factor).
1/4 of the BTC payout looks right.
do a forum search for, ckpoolmonitor. if you want another view with better math than above.