By and large, I’d agree that one’s view of prophecy has no impact on salvation. (I’m sure someone can up with something crazy that we’d both raise our eyebrows at.)
That said, it is significant that the position of the early church was premillennial.
It would certainly indicate to me that that is the place to begin the study.
I believe prophecy has an impact on Salvation in this regard . . .
Folks who are not taught the fulfilled prophecy aspects of Scripture tend to view Scripture with less respect . . . even to the point of not being saved because they respect Scripture so little.
And, folks who are not anticipating Biblical fulfillments of BIBLICAL prophecy may well be caught with their theological pants off . . . spiritually naked before devastating events . . . lost.