I agree with playawannabe Melamine is a product that sticks
Melamine is an oil product and will fade faster than a latex paint..
There are latex products out there that are very good...We prefer using a good latex acrylic paint called high performance 2000.. Most new homes where I live if the doors baseboards and trim are to be painted they are sprayed with this paint... We also use this product in homes where people cannot tolerate the fumes of oil paint..
For environmental reasons oil paint products are slowly being fazed out...
Love the red red wine color...
How many coats did it take?
If the cabinets are in good shape a whitewashed effect looks wonderful...if you have to use wood filler at all then you will have to paint them in a solid color.. I prefer solid and most of our clients do too...
Good luck
Post photos when you have completed your project..