Yes
Usually too much fuel will cause black smoke ( like running a hot engine with the choke on ) .
But way too much fuel dilutes the oil & washes it of the cylinder walls causing it to burn
Oil moke is more dense than fuel smoke so the white obscures the black.
Regardless, it needs to be fixed.
It works a lot better to FIX ONE THING AT A TIME because one problem can mask another.
So if new jets cause he mower to run much better, but not eliminate the the wite smoke you have eliminated one possible cause.
Excessive fuel can also get into the sump diluting the oil that is in there and that will also cause lots of white smoke.