As stated in that thread the necessity in home systems is debated. A lot of it has to do with everyone's source water makeup, and how you pre-filter prior to your membrane.
If you have a lot of sediment and aren't using a .35 or below micron pre-filter I'd say highly recommend to flush. If your pre-filtering down to a .2 micron sediment pre-filter it's unnecessary. Most people don't use less than a 1/0.5 micro sediment pre-filter to my knowledge. I think 1 is probably the most common from threads I've read on here.
The purpose of the flush is to force out any sediment that may be on the surface of the membrane before they are allowed to clog up pores, which would reduce your efficiency. So obviously the less sediment you put into your membrane the less necessary it is to flush it.
I advise people to use it as the 30-60 seconds of flushing isn't going to harm your membrane in any way, not flushing could harm your membranes given the proper conditions. The amount of harm will vary based off how much Sediment you force into the membrane, a little bit isn't going to make a difference, but a lot will.
One example would be not purging your carbon blocks. The amount of carbon fines that will dump on a membrane will no doubt shorten it's life. Performing a flush will purge most of those off the surface of the membrane instead of forcing them deeper into the membrane and causing them to break down which will clog more pores as they lodge deeper into the membrane. Now without performing that flush all those carbon fines would embed into the membrane over time shortening it's life.
So as a precaution without knowing the specifics of someone's water source/slit values, and which rating (nominal/absolute; 1, 5, 10 micron, etc.) filter cartridges they use I recommend it as a better safe than sorry approach.
If it's just about saving a couple cents in water, I don't know about you, but I waste more on stupider stuff than 60 extra seconds of flushing my membrane. My water is cheap @ ~ 2¢ a gallon so the extra 1-3¢ for a 60 second flush doesn't bother me from a financial standpoint.
Now if you pay more for your water, are in an area where water isn't as available or are facing drought conditions, I completely understand wanting to preserve the extra 60 seconds of water, and it very well may be safe for you to skip the flush.
So
@Opus isn't wrong, the necessity of a purge is more often than not over rated, but the extra step isn't going to do any harm.