The ODO has an example sentence:
I lost track trying to count the sheer bald-faced, brazen, well-swilled out-and-out lies being palmed off as fact or being suggested for our consumption as reasonable readings of the text.
It appears well-swilled should be synonymous with other adjectives in the lineup, but I can't find this word in dictionaries. Another example I found:
Our sixteenth-century forebears used adjectives such as "shameless, fat, well-swilled, stinking, papistical … ," as historian Timothy George wrote on our May 16 editorial page.
Swill means to drink, wash, rinse. But what does "well-swilled" mean here? Urban Dictionary has an entry that suggests it means "intoxicated". This definition does not appear to sufficiently fit the above sentences.