Sure.
But, keep in mind you are talking to a guy who grew up in Israel and also follows a lunar calendar.
Passover floats around a bit, too, compared to the Gregorian.
And, yes, the observational issues with the Islamic calendar can move stuff around a day or so.
But Ramadan will almost always float around April and (mainly) May on the Gregorian calendar.
https://www.timeanddate.com/holidays/us/ramadan-begins
Nope.
Since their months are fewer, it is marching backwards on our calendar. Not always around April. Only just for these few years. A few more and it’ll be into winter solidly again.