My preference is that this auction is NOT game forcing but promises a second bid. The main reason in which this should not be forcing to game is that (a) you have no 1NT forcing option available after 1D openers, and (

Here is a real hand from a regional a few years ago in which our team lost a KO event;
Your hand:
Ax
xx
Qx
K10xxxxx
Our teammate, both VERY established players (not that this is measure of skill, they both have > 5000 MP, hence they have much experience), decided that this hand was not worthy of a 2C response (the club suit was lacking in intermediates) and bid 1NT (citing that 2C is "game force unless suit rebid" BUT did not like the suit quality for 2C-3C). Auction proceeded 1D-1N-3N (you can also argue 2N instead of 3N);
Other hand;
Kxx
Axx
AKJx
Axx
Needless to say, 3N is not a very effective contract at imps. But this hand would be an absolute nightmare if you play 2C as game forcing.
How about some arguments (a) for and (
