If the grubscrews on the spindle are correct, and your pull on the handle on one side is transmitted to the handle on the other side with no pull on the rose or plate, the rose-retaining screws will not be pulled out.
That is assuming that the hole for the tube latch is a snug fit and that it is perfectly straight. In the real world that isn't always the case and pretty much every carpenter has seen pulled out screws on chipboard doors at one time or another. Whilst sleeve nuts can be a PIA to install they do avoid the issue (and I am no fan of them, but they are preferable to a call back any day)
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