how does a colorful toned coin like this compare to original mint luster
It all depends. Some people like blast white or fire red coins. Others like toning. Some toners have little luster, while others are luster bombs.
mint luster takes precedence over any toning
Depends on the collector
But does it? In regards to grading and demand.
Toners have a wide market nowadays. Toning is a factor in grading, black blotchy toning, or toning that erases naturally existing luster is considered damage while attractive or colorful toning can help push a coin that is, for example, nicer then all 64's but not nice enough for a 64+ or a 65, nice toning can help push it to a 64+.
And is it considered a "Variety"?
Just because of the toning? Then in that case no.
Your coin does have nice color, but in my opinion it wouldn't likely sway any value.