The weight consideration and training aspect are real benefits to most fixed-power optics. However, if really fast transitions to 1x are a thing you need, you can always mount up an RMR-alike with your LPVO, too, so I find that somewhat less compelling of an argument.
I will say that not all LPVOs are made equal, and there are some expensive LPVOs I would NOT choose to use in place of an ACOG or even a reflex sight. Reticle choice (to include focal plane), optical clarity, and true daylight brightness are very real considerations to me. Maximum magnification, in some ways, is actually rather less critical to my decision about which LPVO to use. To use an example, I have a 1-4x with a FFP BDC reticle that's pretty reasonable to use at 4x, but is simply not fast enough to use at 1x due to a lack of brightness and rather thin duplex lines to guide your eye to the center. It's getting replaced as a result - it's just not fit for how I want to use it. Conversely, I have a 1-5x on a 10" SBR that's basically a SFP duplex with an extremely-bright fiber optic aiming point, and it is VERY fast to use at all magnifications - it won't get you out to 600 yards, but it does fine work at 0-300 point blank. Mission drives gear, etc.