There are good techniques for not forcing the rim tape off of it's centering within the rim, mainly it comes down to getting the air-plumped tube inside of the tire in a less-twisted state, so that upon it's coming in contact with the rim tape upon initial inflation, it doesn't impart any sideways shear force on the rim tape.

To this end, I try to install the plumped tube into the tire before fitting the tire to the rim, and then lift (instead of roll) the tube into the rim cavity. This prevents the tube from becoming twisted (which may result in the tube trying to un-twist upon initial inflation, thus moving the rim tape sideways).
Alternately, I just as oftenoften install a tube into a tire where one bead is already in the rim cavity, and all of the above applies equally.
Another important detail is to get the entire tube into the rim cavity before starting to fit the second bead into the rim!
And lastly, I usually do have to let some air out as I am working the second bead into the rim.

Never install a tube into the tire and rim before plumping it with some air!