I think so, so yes, unless the strings are worn out. As they should not be after only a few months of playing. It will however always take some time for the string to accomodate to the new tension.
If you consider the yield limit, where a material starts to deform plastically, (in the case of musical instrument strings it would normally mean they break. )
As long as you stay below the limit for plastic deformation the material is in the elastic zone and will return to its original shape when the applied stress is removed.
What will happen when you tune from g to a is that the string is exposed to a higher tension and will start to stretch. When you on the other hand tune from a to g, the string is exposed to a smaller stress and will start to contract. This is a technical explanation and you can find
more about it here.
What you have linked here is correct for metals and so applies to steel strings. Polymers, however behave differently.
There's a simple experiment you can try at home to illustrate the behaviour of polymers under tension.
1. Cut a strip about 1" wide from a plastic carrier bag - the type of cheap bags given out by shops is ideal
2. Hang it up and add a weight to the bottom that's just enough to ensure the strip of plastic is taut but not significantly stretched. Mark where the bottom of the strip is. (If you hang the strip from the top of a door you can tack a piece paper behind it).
3. Now add a weight on the bottom of the strip so it stretches (about 8 oz or 250g should be enough) and mark where the base of the strip is now.
4. Leave it for about 10 minutes and mark where the base of the strip is now.
5. Remove the weight and mark where the strip returns to initially.
6. Leave it again for about 10 mins and mark where the base of the strip is now.
As long as the weight you used is not too large (8oz should be OK but it's about 20 years since I did this myself as part of a polymer engineering course and I can't remember the exact values I used) you should observe the following.
* There will be an initial instantaneous stretch when you add the weight.
* The strip will continue to stretch when you leave the weight on.
* When you remove the weight it will shrink back instantly but not all the way to it's original length.
* If you then leave it, the strip will continue to shrink back and, if left long enough should shrink back to its original length - providing you haven't put too large a weight on and taken the material beyond its "elastic limit"
This behaviour should tell you why polymer strings take time to settle and also why, if you decide to tune down to a lower pitch, they will initially feel somewhat floppy. If you've ever tuned down, you will probably notice that they go sharp when you leave them. This is the strings "catching up" with the sudden change you imposed on them
If you do tune down you need to give them time to settle to the proper tension for the new pitches.
Hope this is helpful.