Any E coating on window glass will also affect the color of your paint as with the reflective color of the material on your floor.

Kylie M has a good video that compares Pure White with multiple other whites.

https://www.youtube.com/watch?v=TolRmJ9rUYQ

Pure White is grayer than I usually pick and Swiss Coffee has a bit more color than I typically use when someone wants white. It is beautiful, but has some color.

I would test BM Simply White, SW Cheviot and BM Cloud White and see if any of those get you closer to what you are wanting.

Samplize also makes a bundle of the most popular warm whites. $35.00 gives you 8 options to try. If one is close, but not perfect we can help get it perfect, but the two you picked are pretty far apart and you will need to test a few in between to get close to the right one.

That is amazing Samplize now has a white platter. That is the best way because whites are tricky. When selecting a trim color and cabinet color for the house i was moving to, I cut an MDF baseboard into four sections and then painted each with my top four paint colors. I was not expecting BM White Dove to win, but in comparison to others like Cloud White and Chantilly Lace it held its own in my southern facing home and did not look yellow like the sample chips tend to. In my setting the other whites appeared washed out or too bright in the southern exposure and that’s why the comparison is key. I m not a color expert but it made it so obvious when they were all next to each other.

I moved from a home in San Diego County, where the weather is always sunshine and 72 degrees. My home had huge windows on every exterior wall. My landscape was also limited, not much around the house (don't want things that can burn within 10 feet due to forest fires and smaller, fewer trees because of water shortages). My new home is in Central PA where about half the days are cloudy and we have 4 seasons and need our homes to be better insulated, so we have less glass. There are gardens and big trees throughout the neighborhood, shading many of the windows at different times of the day.

The first colors I tested after moving into my new home were the colors I used and loved in my last home. They were so dark and oppressive in this house.

There are so many variables that impact the appearance of the colors (including white) that you really cannot substitute actual testing of the colors in your home.