yes, Ostrich spreads in my yard, maybe a new shoot a few inches away each year. Not too hard to dig up.
Sensitive fern(aka bead fern/ Onoclea) ( you did not name) also spread for me and becomes a thick mat of roots, more like a ground cover of fern. Harder to dig.
Landscape fabric won't stop any and makes its own problem. Mulch won't block these ferns as they come from wandering roots.
I don't know that you have to worry about them going under the deck, the ostrich that is, as they won't grow that well in darkness under there.
we use a layer of stone under our deck. It gets dirty eventually but is brighter and drier than mulch.
Wasn't it just gorgeous this weekend?