It did seem to slow the game down a bit and during the second game most people decided to just draw to 12 and stop. It did not feel right and I was curious...
Once you learn the game, it really shouldn't slow things down much. By the time you are drawing to over 12 cards, you are near the end of the game; you want cards that score a lot. Which are usually expensive. So you pick 1 or 2 expensive high scoring cards, and plan on using the rest of the cards to pay for them. There's no need to actually ponder every card you see when you are drawing that many.