Is it disingenuous to label myself as a "Software Engineer" when my position is "Software Developer" ?

My official title is Software Developer II. I have 2YOE and am starting to think of jumping ship to a new company, but I feel like the term "Engineer" carries more weight with it.

I am a full stack developer, would an employer see that my official position is not engineer and would this make me seem untrustworthy?