It's certainly worth a lot more then $200 but I'm sure you're aware of that already
I think this may be debatable... As I was actually buying some Pokemon cards/looking at full set listings before Pokemon go and after. Has the actual value gone up? Eh not really BUT are people willing to pay more for certain cards since release? Absolutely.
I'm going by actual current bids/last sales - not just random postings with no buyers with interest.
Example... Before release it was common to see the booster packs for a reasonable price. Now people are actually shelling out 40+ per pack. That, imo, is insane and the jump went from what? 25-30 ish to 40+? After release. The app did have an effect in certain areas because demand of people wanting the nastalgic feeling of having those cars again shot up. I think the demand has since dwindled back down but last I checked the prices remained the same for now.
Note: that's just one example...