A word for having trouble distinguishing between friendship and romance

This is a coinage but seems to fit:

"omni-intimate"

which can be defined in parts as "all; of all things ; in all ways or places + intimate". The word "intimate" stands for the core feelings of romance and romantic bonding, according to the way you have characterized it. "Omni-" also implies that nothing or no one is excluded, i.e. open equally in all directions.

Patroclization-or maybe Patroclean (adj.)-Describes ambiguity of friendship and romantic relationship with one person. Derived from Achilles ambiguous relationship with Patroclus whose death in the Trojan War brings Achilles back to the battle for revenge. I've seen this word 'Patroclization' used in newspaper headlines, but not in any dictionary.

The person ...

tends to get the wrong idea.

is tone-deaf in relationships.

is not good at picking up social cues.

confuses friendship with romantic intentions.

always assumes you want more.

turns everything into a date (works best if the person is female).

is a little creepy (works best if the person is male).

is too touchy feely (works best if the person is a male).

is over-familiar.

In asexual communities, people who cannot tell the difference between feelings of romance and friendship are described as WTFromantic. The term was originally coined in jest, but has since gained traction and earned an entry on the AVEN wiki.

So I threw my hands up, said, “ ... I’m WTFromantic” more or less as a combination joke and snide remark. And to my surprise people seemed to like the word and people started using it. I can’t speak to where it’s gone from there, but when I came up with it I intended to imply a frustration and a confusion with the essential concept of romantic orientation.

Sciatrix, Writing From Factor X

Less vulgar alternatives include whatromantic, or quoiromantic (quoi, French for what).

I think the phrase you're looking for is that this person experiences alterous attraction. Alterous attraction is generally when someone is okay with being friends with another person but completely wouldn't mind starting a romantic relationship either. It can cause a lot of confusion over whether one is experiencing platonic or romantic attraction, when in reality the person is experiencing both simultaneously.