What is a word which means "un-deliberately uncooperative"? (originating back to at least the 17th-century)

Solution 1:

I suggest obtuse.

OED has

Annoyingly unperceptive or slow to understand; stupid; insensitive. Also, of a remark, action, etc.: exhibiting dullness, stupidity or insensitivity; clumsy, unsubtle.

1509 S. Hᴀᴡᴇs Pastime of Pleasure (1845) xɪɪɪ. 113 I am but yonge, it is to me obtuse Of these maters to presume to endyte.
a1586 Sɪʀ P. Sɪᴅɴᴇʏ Lady of May in Arcadia (1598) sig. Bbb5v Thus must I vniforme my speech to your obtuse conceptions.
1602 J. Mᴀʀsᴛᴏɴ Antonios Reuenge ɪ. iii. sig. B2 I scorne to retort the obtuse ieast of a foole.
1606 W. Wᴀʀɴᴇʀ Continuance Albions Eng. xᴠɪ. civ. 408 Obtuse in phrase.
1667 J. Mɪʟᴛᴏɴ Paradise Lost xɪ. 541 Thy Senses then Obtuse, all taste of pleasure must forgoe.

It was known with that meaning in the seventeenth century, and has the happy advantage of being in use still:

1992 Daily Tel. (BNC) 5 Apr. 13 Kohl...will have to live with a politically obtuse gesture that is being compared to his appearance with American President Ronald Reagan [etc.].