I agree that in some instances, this is sure to be the case. But neither one of us have any reason to believe that most of the people classified as "discouraged workers" are discouraged as you describe. When they do the polls, they don't actually ask people why they are no longer looking for work.
Of course they do. If the respondent had already said s/he wanted a job and could have started work the previous week, had looked in the last 12 months but not last 4 weeks, then s/he is classifed as Marginally Attached. If s/he responds with answers 1,2,3,4, or 5 below, s/he will be classified as Discouraged. 6 through 11 will be "marginally attached, reasons other than discouragement.
What is the main reason (you/he/she) (was/were) not looking for work during the LAST 4 WEEKS?
DWRRSN
1 Believes no work available in line of work or area
2 Couldn't find any work
3 Lacks necessary schooling, training, skills or experience
4 Employers think too young or too old
5 Other types of discrimination
6 Can't arrange child care
7 Family responsibilities
8 In school or other training
9 Ill health, physical disability
10 Transportation problems
11 Other
http://www.census.gov/cps/files/questionnaire/Labor Force.pdf
They don't even ask people if they are "discouraged", they just automatically lump people into that category, based upon questions that have little to do with why they stopped working.
Not why they stopped working (though that is asked in other parts of the survey), but for why they stopped looking.