I dint think it was her aim. But I agree if any if the royal cousins were likely to end up with a titled spouse it was/is Beatrice. Eugenie came in second prior to Jack. There is no surprise that Eugenies guest list was posher then Harry and Beatrice likely more. Beatrice moves in circles with the casiraghis. She attended the wedding of Amadeo and Elisabetta. And other society weddings we see continental royals at. Beatrice mingles with titled people, not just British, on a personal level. Harry and William do mainly for royal engagements.
I think Beatrice may end up looking closer to home this time. Within her usual social circles and someone who fits her life. It woukd also be easier for her to fly under the radar in a new relationship.
Maybe we will see little Louis and Lena in her future wedding.
It's unlikely, I guess she could pull a Harry and marry quickly, that she will marry in two years or less. more likely 3-4 years. If Eugenie and Jack start a family soon, a little three year old niece or nephew could do the honor.