The thing is...when you switch time signatures like that, but the bottom is always the same, you can pretty much write the top as whatever you want.
I've played pieces with phrases that would jump between something crazy like 13/4, then 6/4, then 4/4. I know there are some Dream Theater songs that are like 26/8, or some other weird times lol
A composer can write whatever they want. The more important number is the one on the bottom. (Although it gets REALLY complicated, and maybe wrong, for you to write crazy numbers on top when you start doing stylistic things, even simple things like swing.)
It's just not really...a common thing, and some people might even say "acceptable" thing, to write those kinds of numbers up there, because classically, people aren't really trained to do that when you write music.
It can get AWFULLY messy to write music that way, and it can be really really hard for say, a band to keep that sort of time in their heads.
But it's really...up to the composer, and the conductor.
(Sorry for my bad drawing) But you can see how, on both of those lines, you have the same notes...the first is in 7/4, the second is in 4/4 then 3/4....but when you got to play those two lines, they will come out exactly the same.
We can't really know FOR SURE whether or not the song is in 7/4, or 4/4 and 3/4, without the sheet music...which I did think we had a scan of actually...