Edit: As of writing this, a cub was born with a random briar rosette during a Day Time breeding. This proves that even though there is a 0.36% chance of breeding a random rosette at night, there is an even smaller chance of random rosettes that can still be bred during the day as well.
Based on statistics, it is still better to breed random rosettes at night and inherited rosettes during the day.

Briar rosette cub in question: https://www.lioden.com/lion.php?id=794158944152

Abstract

I bred my lionesses 500 times. Based on the data I have gathered, you are twice as likely to breed cubs with inherited rosettes when breeding during the day rather than night.

Introduction

After I completed my previous study on random rosette spawning [link], I wanted to see if that data connected with how inherited rosettes are passed down. In the last project, I bred 1,000 Newly Claimed Lionesses and recorded potential factors that could spawn random rosettes. I’ve come to the conclusion that random rosettes spawn when you breed your lions at night in game.
I wanted to see if this data played a role in how the spawn rates for inherited rosettes were determined.

Methods

Since this project didn’t require heritage-less lionesses, I was able to use my pride and NCLs I claimed in Explore. For this project I used my main account King “Accuser of the Brethren,” who has 3 rosettes. Only a few lionesses bred had 1 or 2 rosettes.

The variables that I paid attention to were the time of breeding and what rosettes the parents had. I was originally going to continue this project up to 1,000 breedings, but the data showed a clear trend around 400 in, and I decided to end the project at 500 breedings. 250 breedings were at night and 250 breedings were during the day.

Results

IThe data shows a clear trend that favors day breedings over night breedings.

9 / (425) * 100 ≈ 2.12%

16 / (413) * 100 ≈ 3.87%

When you calculate the percentages of inherited cubs out of total cubs for both day and night breedings, you get a 2.12% chance to pass rosettes at night, but a 3.87% chance to pass rosettes during the day.
If you decide to add in random rosettes into the night breedings score, is still significantly less than day breedings at only ≈2.56%

You are roughly 2x as likely to pass rosette cubs if you breed during the day.

Discussion

When I first began this project with a few hundred breedings in, I was a little worried that I haven’t found the right factors for inheritance and that I missed something, but at around 400 breedings in I noticed that day breedings had many more rosette cubs passing and I decided to end it early.
Looking back at the data, it would make sense to have a higher passing rate during the day, since random rosettes only occurred at night. I’m sure that if inherited rosettes had an equal passing rate or even higher at night, the secret of rosettes would have been discovered long ago.

In my last study I said that the knowledge of how random rosettes pass wouldn't affect the game economy much. However with this data on the rough estimates of pass rates, I believe this information will change how the game breeds and sells rosette lions significantly.

If you have a double or triple rosette king and want to breed rosette cubs, you are better off breeding during the day. If your king and lionesses do not have rosettes, you should consider breeding at night for the small chance of getting a random rosette.

Just like last time if you want to look at my data spreadsheet you can find the images here: [IRP] Spreadsheet

You can find my previous study on random rosette generation here: Random Rosette Generation Project [RRG]