The main effect of the standing waves on public transport a/c is that transiting from the rising air to the sinking air will lead to the auto thrust increasing and decreasing power (very noticeable over the Alps with a strong northerly). Also if the wave bar were to be aligned with the approach it would either require more power if on the "down side" or lead to difficulty slowing down if you were on the "up" side. A few weeks ago there was a classic southerly wave bar on the approach to EDI 06 and the bar was aligned with the approach making it hard to slow down and go down. If one were a bit high and fast in that situation it could lead to a go around, so when mountain waves are forecast it is worth monitoring your climb, descent and deceleration profile more closely and being prepared to drop gear earlier and/or use speed brake.
Standing wave is particularly common where there is high ground but is regularly noticed by the more observant pilots over the flat lands too.