In the sentence, "Let's continue to cherish what we have and create more beautiful memories together as a family," the word "more" implies additional beautiful memories, rather than a comparison. Here, "more" is used to suggest adding to the existing memories rather than comparing the new memories to previous ones. However, there’s a slight nuance: by saying "more beautiful memories," it implies a continuity or building upon previous positive experiences. So, while it primarily means "additional," it can carry a subtle undertone of adding to or enhancing the collection of memories.

Both interpretations are possible: (1) "more memories that are beautiful" or (2) "memories that are more beautiful". However, most people will hear it as (1), not (2). That is because "more" is a determiner, like "many" or "some", and as such it has a tendency to attach itself to the nearest noun. That noun would be "memories", not "beautiful".

In this sentence, "more" functions as additional rather than comparative. The phrase "create more beautiful memories" suggests adding to the memories you already have, rather than comparing these new memories to previous ones. The emphasis is on building up an existing collection of memories, so "more" here is about adding additional memories rather than making memories that are "more beautiful" than previous ones. You’re correct that both interpretations could make sense, but in this context, additional is the primary meaning.

In this sentence, “more” has an additional meaning, referring to creating additional beautiful memories together. It suggests adding to the memories you already have, rather than directly comparing them to others. While “more” can sometimes have a comparative sense, here it simply means “additional beautiful memories.” So, the focus is on continuing to build and add to the collection of family memories.

Additional