You can count on having to address this; the how do you do in a training environment question is pretty standard. If I were doing the interviewing I'd ask about your over all training record ie did you bust checkrides starting at the Private Pilot level, or if you're in the military did you just get by and get SPDBd at every stage. I'd be trying to identify if it is new equipment that causes the problems, instrument flying deficiencies, lack of initial preparation etc.
My antennae would be up, but I wouldn't pull the plug at your revelation, but how you answer these particular questions would be critical. Training liabilities are dreaded at the airlines and you've got to convince them you don't fall in that category.
They're looking for the total package so emphasize all things attitudinal. Namely even though you had discouraging results you didn't give up and that you'll hang in there until the last dog dies.
If there's a sim eval involved they can get their answers regarding your aeronautical abilities there.