What you're describing isn't a pump and dump, but in any case what Jane Street did wasn't a pump and dump or what you're describing. It also had nothing to do with market making.

India's market trades options much, much more than the underlying stocks. This means that on one hand you can trade a lot of options without moving the market, and on the other you can move the market by trading comparatively few shares. Since options prices tend to be bounded by the price of the underlying, this is...a problem. For example you could buy shares to move the price up, sell calls, buy puts (aka a collar), then sell the shares to move the price back down so both calls and puts make money.

But it doesn't necessarily look like this is what Jane Street was doing. Instead they seem to have realized that stock and option prices already regularly diverged, and put the collars on to profit from corrections. In other words: arbitrage. Which, fair, can be functionally indistinguishable from market manipulation. But on paper it looks like they made prices better for everyday folks at the expense of the market makers and other institutions.

Matt Levine wrote a long Money Stuff column about this around the middle of last year.