Well, this is only if you stick to these units. If the BTC price rises again and rises more, using BTC as the base unit becomes increasingly less useful and people will probably start to use mBTC as the main working unit. And then the question is no longer if you get 1 or 100 BTC but 1 or 100 mBTC which lowers the "psychological thing" based "entry point" by a factor of 1000.
Also saying "there are more (potential) coins of X than of Y" is somewhat pointless and only makes sense if you totally ignore that you are not trading in full, indivisible coins but in fractions down to the smallest possible value which can be expressed in that currency (e.g. 1 satoshi). You need to compare the possible amount of the smallest possible value. Without having checked it, this is probably still in favor for Dogecoin, but if for example Dogecoin would have only one decimal after the dot (smallest unit 0.1 Doge) it would not. Therefore I don't think that comparing the number of "full" coins makes sense, even when recognizing the "psychological thing".