That's bullshit. You have no reason to care about data integrity in your NAS but not in your workstation. Plus "random" bitflips can have various causes, and except if you spend a weekend to a month memtesting your non-ECC ram you have no way to not know if you don't have a slightly defective chip. Also, if you wish to risk to trash your most important design files after a good afternoon of work, or miscompile a binary for extra fun, or maybe even an FPGA bitstream, well that's your problem and to each one their way to have fun, however on my side I rather not piment my life with that kind of crap.
The last thing you want if you are doing any kind of creative work is more or less random bitflips that happen very rarely but still more that lets say once in a year (YMMV). If your bitflips are too frequent you will soon notice and "fix" the problem (if you don't switch to ECC you actually fix nothing, but if you have a defective chip and switch to a good one at least you mitigate your issue)
For information the defect rate in consumer electronic is in the order of 1% (not specifically for RAM, I don't have any exact figure, but as a general order of magnitude figure it should be something like 1%). I know there are too much software bug here and there, but I don't want to add extra ultra-non-deterministic data destructing bugs just for fun.