I don't think I've recommended RAID as an alternative to backups, just pointed out that other than RAID0, the array isn't subject to the loss of any single drive, which is still far more likely than a multiple drive failure. Agreed, if you run RAID with a bad batch of drives and the whole batch goes bad, you might lose everything, but the same is true if you don't use RAID and you store your data on a single drive from a bad batch.
The advice shouldn't so much be "don't use RAID", but rather, "don't assume RAID is a substitute for a backup", "use a RAID configuration that allows failure of two drives whenever possible", and "don't forget you need to monitor your array, and don't let a failed drive sit unreplaced for any longer than absolutely necessary".
I think you misunderstood. He said with raid you increase the chance of losing "everything". That is true of all forms of RAID even RAID5. The risk of losing something decreases but the risk of losing everything (broken array) increases.
If you have files on 5 drives it would take 5 failures to lose everything (although only 1 failure to lose something).
If you have files on RAID 5 (using 5 drives) it would take 2 failures to lose everything. The risk of losing everything has increased. One is trading availability for data security. In the Enterprise world given the cost of downtime for mission critical applications that is a beneficial trade but it is still a tradeoff.
I didn't mean to imply you were advocating not backing up or anything else. Just correcting your correction.
In RAID1, your risk of losing everything does not increase, and your risk of losing some things decreases (vs storing different files on each disk individually).