At an airline, they do ask if you have any stage check failures, along with actual faa "pink slips". They do review your logbook thoroughly (or at least the airline I went to),and will find discrepincies. Most even want stage checks and checkrides tabbed before you get there.
I wouldnt worry too much about it, but you need to be honest when asked a direct question verbally or on an application. Nobody is perfect, but they do expect honesty.