In Pokemon HG/SS, are there any non-legendary pokemon who flee from battle instantly?

I remember in G/S/C, a few non-pokemon that fled from battle instantly were Quagsire, Teddiursa, Grimer, Phanpy, Tangela, Magnemite, Tauros, Cubone, & Mr.Mime. Is it still like this, or did the game fix this annoyance? I know that other recent games fixed it (such as R/S/E & D/P/PT), but I'm not sure about HG/SS.