[notahacker]

The distinction is pretty much the same as the distinction between "tech" and "other" companies in other fields

Technology is more fundamental to how a company aims to be better than the competition (or at least how it markets itself as better than the competition). Which in practice often means having software doing exactly the same thing as software in other companies, but less bricks and mortar, customer service and established reputation.

Everything Morgan Stanley or HSBC does depends on computers and their bottom line is hugely affected by the quality of things like their trading algorithms, but "better software" is less intrinsic to why people would consider using them than, say a "Fintech" oriented challenger bank, or a HFT fund, or a stock recommendation report marketing itself as being purely "Big Data" driven.