It's all dollars and cents.
To design to an airline-standard cycle life (more specifically, Low Cycle Fatigue or LCF) a part will likely be heavier, use higher grade materials, have a more expensive manufacturing process, and/or more stringent inspection. This all adds to the cost.
Applying all these goodies on a bizjet engine that only flies 500 hours/year and which may become obsolete before it wears out, becomes a pointless exercise; and might drive the engine cost to uncompetitive levels.
In short, it can be done, but what's the point?