It is true. Its physics.
APS sensors have the crop factor (often 1.5 or 1.6). To get a blurred background with a crop camera you would need to shoot 1.6X faster glass ie F1.4 instead of something like F1.8 on full frame.
Take different cameras - micro 4/3rds, APSC and full frame at same focal length. Focus on an object close to camera to blur background. Full frame image will show the most blurred background.
Its one of its biggest appeals. A lovely blurred background is a truly magical photographic effect. Many photographers go to great lengths to obtain it with careful selection of lenses and fast f ratio (at greater cost).
Larger sensor also captures more light due to larger surface area.
Greg.
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