What's the chance they suspend further trading of GME stock?
The exchange didn't suspend trading, several brokers widely used by small investors did. And some of them didn't suspend all trading, just purchases (sales were still allowed).
There may or may not have been malicious intent, but the EFFECT is much stronger and less fair than a hault to trading would have been: it forces small investors (but not big ones) to push the stock in a particular direction.
Just as the buying might be coordinated effort by readers of reddit, the suspension of buying new positions in GME is the coordinated effort by multiple large retail brokerages.