I think dispensational thinking is the best explanation of what we read in the Bible. But it itself, unlke the Bible, is not the Word of God. So, what I think can and does happen sometimes is that seeing this pattern in the Bible, is to then read into the BIble certain sections that do not fit smoothly into it.
Off hand, as an example off hand, when in Rev 4, the Apostle John is told to come up here (heaven), to equate that with the rapture is stretching it. I don't think someone would get that just reading those passages; I think the thinking is that if one comes to the conclusion that the rapture is before the tribulation, and seeing Rev 4 as the transition to the tribulation, one then assumes the satement (come up here) is referring to the rapture.
Now, that can happen with even non dispensational approaches.
2 Peter 3;10;11;12;13
10But the day of the Lord will come like a thief, in which the heavens will pass away with a roar and the elements will be destroyed with intense heat, and the earth and its works will be burned up.11Since all these things are to be destroyed in this way, what sort of people ought you to be in holy conduct and godliness, 12looking for and hastening the coming of the day of God, because of which the heavens will be destroyed by burning, and the elements will melt with intense heat! 13But according to His promise we are looking for new heavens and a new earth, in which righteousness dwells.