I am a USA permanent resident. In 2009 while an H1B worker in the USA, I applied for a visa to visit Canada. The consular officer requested information clarifying my legal status in the USA. I never went back for the visa because I was temporarily out of status at the time and didn't have the evidence required. I never received any indication that the visa was denied.
I want to visit Canada now. Would applying for a visa be suspicious/advisable considering USA permanent residents are allowed to visit without a visa?
I would prefer having a visa stamp in my passport because I plan to return to my home country for good within a year and give up my USA green card. Having once received a Canadian visa would be beneficial at that point in my application for visas to other countries.