Just some personal opinion...
I believe Mr Color thinners use Reducer in them, not Lacquer Thinner.
Reducer (primarily for Urethanes) comes in "slow" and "fast", which means it evaporates at different rates.
You can speed up or slow down the drying time.
By allowing the thinner to evaporate slower, it gives the paint more time to settle and level.
But in cold conditions, this can also increase runs (on cars, etc).
This is not to say that Lacquer Thinner is incompatible, but it won't have the same leveling effect.
In fact, Lacquer thinner may evaporate too quickly and therefore you get less leveling effect.
You mentioned "clean up purposes"?
Do you mean cleaning surfaces? checking oversprays?, removing tape glue?
Using Mr Color for clean up is an overpriced recommendation.
Both Acetone and Lacquer Thinner are cheaper and good for clean up.
Acetone is better at removing grease and oils.
Neither are friendly to plastic, so use them sparingly.
*Reducers are available at Automotive Paint and Parts suppliers
Also, try "Final Wipe" solvent.
It will also clean up oils, grease and some glue residue, but won't remove fresh paint.
Its used as the final prep before clearcoating.