Back then, there were only a few exchanges available, like the ones you mentioned. That meant there were fewer options, and not many people were interested in buying Bitcoin. However, 2013 was the peak year for Mt. Gox, they were processing around 150,000 BTC per day until they collapsed in 2014.
If you want more details, you should definitely check this out.
Estimating the Market Impact of Mt. Gox RepaymentsExecutive Summary
Mt. Gox is preparing to repay creditors (in kind) in July.
Although the trustee holds roughly 142,000 bitcoin, the actual amount to be distributed is closer to 75,000 bitcoin.
The distribution will occur at different days throughout the month, to a number of different exchanges.
We believe that bitcoins extensive liquidity and the dynamics of the creditor distribution are likely to soften the impact of any potential sales.
Bitcoin Cash is much more likely to suffer from creditor sales.