Thank you for the responses. So I think we should not include the LINC program but include the ESL programs since in their guide they say "Note: You are not required to submit proof of attendance at English/French as a second language training programs." On 6F section they say "Have you attended an educational institute the last 4 years or participated in English/French Language Training". she technically did attend English language training in ESL classes but they come back and say not to include proof of attendance for ESL. so include it but no proof is necessary, which conflicts with what the agent said
EDIT: I got a hold of a second agent and he told me the opposite of the first one, he said basically include everything on the form for all ESL classes and provide proof like a transcript or a certificate. They don't need to know the amount of time she spent just proof that she took the classes.
I'm just paranoid that they my return the application hence the double checking...