Just an opinion. We don't know the credentials of the Wikipedia author, so we don't necessarily know what he or she meant. On the one hand, it is simple. The isopropyl group prevents dehydration of an aldol product on its side of the isopropyl group. In that sense, the isopropyl sterically shields the ketone.
This reaction presumably could give either addition product. However, the pKa differential is relatively small between the benzylic alkoxide and the enolate of the ketone, so any addition can reverse. Dehydration will stop(?) the reverse reaction. We know both enolates are forming as epimerization of the methyl group from S to R accompanies the condensation.
Enolization of 2-methylcyclohexanone can occur in two directions. The kinetic product is the less substituted enolate and the more substituted enolate is preferred. KOH only generates a limited amount of enolate as water is more acidic than the ketone. Therefore, the conditions result in an equilibrium of ketone and enolate(s). The dehydration reaction probably drives the equilibria to the product isolated.
In this case, a polar solvent is not necessarily the key as much as the equilibration that accompanies it. A kinetic enolate can be generated in THF, so in that sense a polar solvent would be better. An excess of ketone also equilibrates enolates. Presumably, the kinetic enolate could have been generated, condensed with the aldehyde, and dehydrated in a separate step (acid catalyzed). However, this is a one step reaction, therefore the equilibrium product is favored.
I'm sure discomolide can elaborate much further on solvents as he can explain about industrial production. Otherwise, I would guess an alcohol or THF are probably used the most frequently in laboratory preps. The selection is really guided by the chemistry and what one is attempting to accomplish.