Excellent! Someone that has gone through this exercise before I will be doing so! Hope to learn a lot here. How do you like the lawnmower? I have about 3/4 Acers. When I first got the lawn mower, I was able to do my whole lawn in just over one set of two batteries. Then slowly it just got worse and worse. Just over one set of two batteries, became almost two full sets of two batteries. Now, I'm down to about 2 complete sets of two batteries plus a little bit of a third set. I brought my batteries in to a repair shop, they said they were fine, but replaced them with new ones. The new ones have the same performance. I'm wondering if you noticed the same issue?
The stock 5.0 Ah battery uses either 10 cells of Samsung 25Rs or 10 cells of Sony Murata VTC5 in a 5S2P configuration. It looks like the battery pack can output a maximum 0f 40 A.
I have no desire in getting more "performance" out of my lawn mower. I'm not even sure if it's capable of accepting more current, but it doesn't really matter to me. I have no need for the engine to spin faster or for the self propulsion to rotate the wheels faster. I would just like a longer run time. So when designing the pack, I'm going to stay close to 40 A.
The aftermarket has some casings that accept 15 21700 cells. There's also the 5S2P cases that I think you used.
A 5S3P configuration, I would need to get 40/3 A from each cell, which is 13 and 1/3 A. I will just call it 15 A. I know that will give me slightly more current than desired of 45 A. But seeing that the LXT 4.0 Ah battery from Makita delivers up to 60 A, I think I should be ok.
Looking at the table from Mooch... he didn't really test 15 A draws. Likely because it's not a common output current draw for 21700s. I guess I could look at 10 A tests, the LXT 6.0 Ah only outputs 30 A, so maybe I'll be ok. Samsung 50S would be best for me, and give me an E-score of 13.7*3 or 41.1. They also have the highest rating at 20 A of 11.4
There are some cases that accept 20 18650 cells.

So looking at 18650 cells

In a 5S4P configuration, if my goal is 40 A, 40/4 is 10 A. The highest rated 10 A cell is
Molicell P28B, Molicell P30B OR Murata VTC6. Of these cells Murata VTC6 would likely be the best. Giving me an E score of 8.0*4 or 32.
So it looks like 15 21700 cells is the winner and Samsung 50S. I'm not sure if I did this right?
It looks like you used Molicel P45B in a 5S2P configuration. How's that performance compared to the stock 5.0 Ah battery? Wow! Those cells can output 45A, so you could get out 90A. Obviously there's some braking point, where the lawn mower isn't going to asking for more current. Does your lawn mower spin really fast, or the wheels in self propulsion compared to the stock 5.0 Ah battery that could only output 40 A? I assume it's pretty much maxed out and is drawing all the current it can ask for. Those are some high output current cells!
Thanks!