Personally, I prefer removing the component, wicking up all the old solder and applying new leaded one.
This way you'll get mirror-like joints that won't crack in like forever.
Though, in general all these "aerospace rules" on soldering aren't that important, even crappy looking joint with mixed solder most certainly will do the job and won't crack.
Just make sure it's was soldered with some kind of flux, personally I prefer rosin diluted in isopropanol.
P.S. You don't have to throw away the removed part, unless it's obviously damaged.
Components on top of each other work okay.