In 9.5 months if this peace lily was not limited by something, it would have been huge, as in my previous picture.....Mine grow on average 1.5 leaf weekly. 9.5 months is roughly 41 weeks, that's 61 new leaves....Peace lilies also multiply from the crown so one ends up with several peace lilies in the one pot....When they grow huge, they start flowering. They may need a bit of time to adapt to water conditions first when initially planted....I think your water lettuce may have scavenged all the ferts and the lily couldn't outcompete it as it looks like a small plant. Try it in a tank that has no lettuce...
I really didn't mean to imply peace lily wasn't suitable for this purpose or doesn't work at all, just showing some side by side pictures. I would guess that you are 100% correct that clearly they are being limited and I have do doubt they can grow much faster.
The plants in your pictures are amazing and look fantastic, clearly they are huge and you enjoy them and at that size they are consuming a great deal of nutrients.
However from my perspective I was looking at plants solely for nutrient consumption and the fact my specimen didn't grow quickly presumably to other plants out competing it would indicate to me that there are better options when it comes to a refugium style plant. Once again they look amazing in your system, but I don't have that sort of space to give them which is another reason I like WL because you can grow them in a very high limited space like under a tank in a refugium sump and just grab handfuls to export very quickly.