Hello Mark and Bas,
The shako's as on the drawing of Groenia were issued. I have copies of the contracts from 1802 from the Dutch National Archives. However in the colonies the full uniforms were not worn except on special occassions. Linen jackets and trousers with a leather cap (like the english version) were worn during the day.
The drawing of Groenia can be dated end 1804 or later. The troops were issued with black leatherwork and black canvas backpacks. On surrendering all equipement was turned over to the English and upon return in Holland they were issued with what was in store; the regular army white leatherwork and cowskin backpacks.
For the troops still in the West Indies no uniform changes were issued after 1806. So on St Martin and St Eustatius the Batavian uniforms were still worn in 1810. Troops on the other colonies like South Africa and Indonesia wore blue with red facings as the 22nd and 23rd batallions were formed from 2 batallions of Marines. They only changed the buttons in may 1802. The 22nd came back in 1806 and the 23rd was transferred to Java in 1804 and later incorporated in a totally new army organisation of Daendels.