When I started there were no missions, no slot machine, no videos for free clintz. I played ELO every week and at least one match in 4-5 DTs per day to get my 200-250 clintz per day. If I missed a few DTs that was a huge chunk of my income.
Nowadays you have all the free video clintz, slot machine clintz (I know, not a lot but still), missions for free clintz/credits/cards, free common card every day from Duel, Guild bonuses that get you more clintz, lower Kate's tax, etc., plus you can play in two DTs per hour for twice the number of clintz you used to get per hour. So yes, clintz are flowing into the game like never before. I don't even bother with DT anymore and I play the min. amount of ELO (5 games per week finishing with score above 1,000) and I have plenty of clintz to spare! So yes, inflation.
The effect was initially lower prices of all cards. Now, commons are devalued and uncommons and Rares have increased in price because people have bought all the low hanging ones with all their shiny new clintz. That's been my observation.