The answer is probably "No". No powder on the planet is completely resistant to temperature-induced changes in burn rate, although some are much better than others. Regardless of whether you are using OCW, a ladder method, OBT nodes, etc., when you identify/define the optimal charge weight window at a specific ambient temperature and then load to the center of it, you are essentially defining the upper/lower limits within which velocity/pressure isn't changing enough to change the load dynamics. In other words, you're loading to the center of a charge weight window (node) where velocity/pressure are minimally sensitive to external factors such as temperature. The temperature-sensitivity of a given powder is the major factor influencing the width of the window.
If you then shoot that same load at a different ambient temperature, the resulting change in the burn rate of the powder may also change velocity/pressure by enough to put you out of the node. How much the temp needs to change for that to happen will largely depend on the temperature-sensitivity of the particular powder used, and other factors influencing barrel harmonics. If we're talking about a temperature change of only 10-20 degrees F, many single-based powders can accommodate this. If it's going to be 30-40 degrees F (or more), it may be a problem. I am personally more concerned when the load is developed at, say about 70 degrees, and then I shoot it at 95-100 degrees, which is not uncommon in the summer. Not only can this cause the load to behave poorly, excessive pressure can also be a concern. Going the other direction, you have slightly farther to go (temperature-wise) before failed ignition might become a safety issue. In that case, your likely to primarily see a decrease in precision unless it's pretty cold.
If you can manage to find solid temperature-burn rate data for your powder of choice, it would be a simple matter to make small adjustments in the charge weight to keep the load very close to the original velocity. I have looked for such data for some time and have yet to find much that I would really trust. Quickload [reloading software] will let you do sort of a poor man's version of this, but I am not yet convinced as to how good its temperature predictive outputs are.
Another approach is simply to take as many velocity reading as you can at different ambient temps, so you can construct a table of your own over time that will allow you to make small adjustments to the charge weight so as to maintain the load within the velocity/pressure window you originally defined at a different temperature. It will require a bit of extra work, but may be very useful in that it will have been determined using your exact setup.