Now that you mention it, there are different stresses at door and window joints. Who knows why the rockers put the seams where they do. (My kitchen countertop seam is at the middle of the sink; not at an 'end'. Interesting ...)
Well, anyway, do try the tape. In short, once you 'bring the crackfilling level with the surrounding wall', put a thin, wet layer of mud down, soak the paper in a little water and lay it in the mud, then lay a thin, light coat of mud on top. Then, each subsequent layer is to be thin and feathered further and further AWAY from the original crack. Do everything in thin layers.