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Obviously, with how Elsa and Anna get very excited and animated in the movie whenever they have a chance to bond, we can safely know that they have a strong desire to be close and bond (a trait common to both romantic and platonic relationships). Elsa and Anna spent some of their formative years together. Due to the Westermarck effect, this hinders but does not eliminate the chances of a romantic/incestuous relationship (supports non-romance). At the post-coronation party, Elsa compliments Anna's beauty, and Anna nearly spills her spaghetti over it. Now, normally this would be the same as two normal girls being nice to each other except for the extreme exaggeration in responses to positive interactions. They stare deeply into each other's eyes and in general, try getting as much euphoria out of the interactions as possible, much in the way that infatuated teenagers do when they first start dating (supports both romantic and platonic, with a slight romantic bias). Anna's reaction to seeing Elsa run away is dramatic and immediate. As though pulled by an incredible force, she throws caution to the wind and immediately tries to comfort the person she loves (this is the kind of thing you don't really see in platonic relationships as much. Yes you do things to help the people you care about, but blatant and immediate self-sacrifice is more common to [infatuated relationships], which makes this low-platonic, high romantic).
Anna gives up a chance at life, stepping in front of a sword and freezing to death to protect someone who, from her perspective, hasn't reciprocated any affection. Even in families, siblings don't usually do this unless they view their relationship as somewhat equal. Maybe Anna's just an aberration in how loving she is though. The biggest pro-romance interactions occur at the very end of the movie. The level of physical closeness between them is extreme, but for family members the metric is a bit different. For family members it's 'especially close'. Still, if you were to hang off your sister in public like that, you'd get strange looks. Also, the merchandise and other stories show that this high level of intimacy continues long after the thaw, so there's that going for it as well.
- Anon












