Is the Thatcher Face Illusion only limited to face recognition? The so called Thatcher-Illusion has been documented not  only on humans but also in some monkeys.

However I can't find literature clearing out if this effect only applies to face-recognition.

What about familiar but non-face visual objects?

Perhaps in other cases the illusion has a different name?

It also seems related to the so called Picasso Problem.

Boutsen et al. (2006) seem to dig deeper but the paper has restricted access.

A proper answer should probably take into account the Fusiform face area
Short answer
According to a study by Boutsen et al. Thatcherization of objects (houses in this study) did not reveal the Thatcher effect, while faces did.  

Background
The Thatcher-face illusion (Fig 1) is, in my opinion, not really an illusion. Instead, it is a phenomenon where in-congruent features are more apparent when observed in their normal everyday context and orientation. In Fig. 1, for example, ms Spears appears normal, but upside down in the left panel, while her face appears hugely distorted when the left panel is turned upside down. 

Your question whether this also occurs in objects other than faces. According to a study by Boutsen et al. (2006), it doesn't. Boutsen et al. manipulated images of faces and houses. Houses did not show effects of thatcherization. The authors discuss the why behind this finding and mention that a number of factors may explain the lesser salience in objects, namely a higher variability in the number of manipulated house features and  their perceptual salience or relevance. Because of their more stable feature structure and configuration, inversion of house elements was thought to be less salient with houses than with houses. Unlike the parts of a building, facial features are highly relevant to an observer to determine identity or expression, thereby rendering configural manipulations of buildings less disruptive. 


Fig. 1. Thatcher illusion of Britney 


Fig. 2. Thatcherized face and house. source: Boutsen et al., 2006)

Reference
- Boutsen et al., NeuroImage (2006); 32: 352 – 67