Historically, this is false. Automation just increases worker productivity as last step automation is always more expensive and so non-cost effective as to be permanently pointless and prohibitive.
From the period 1936 to 1970, wages rose with productivity in a perfect correlation, as they are expected to in all fair markets, those higher wages turn into consumer demand, which spawns new markets, creates new jobs, keeps the markets growing. If it didn't work that way, we wouldn't have progressed since 50k years ago whatsoever.
Unemployment, low wages are caused by market structure, consolidation, currency pegs/manipulation, etc. Not by automation. So long as we have a market structure that creates massive unemployment, we need welfare to deal with it. If we don't, then we are forcibly killing people. Laziness has never been a problem.