They definitely wont, but wall street goes to wherever easy money can be made.
Doesn't matter though, the real value of cryptocurrencies will be their core tech and utility. Price can fluctuate all they want from the next few years (just like it did for the dotcom boom/burst) but there will be winners emerging that will change the world.
My bet will be the next generation and the underbanked in the developing countries. Kids these days can quite be entrepreneurial and wants access to financial instruments, and they want one that's fast and easy (kids gets pissed when a website takes 0.1 second longer to load). Imagine what kids will do when they are denied on-demand instant payment tool because they are not yet 16 years old.
The underbanked needs less explanation. Western Union charges anywhere from a stupid fixed amount to stupid percentages for even small ($200-$500) transfers. An indonesian migrant worker in Essex doesnt need to know the value behind a permissionless decentralized 3-second blocktime cryptocurrency.
Good point about the easy money. I remember thinking in mid 2017 that when futures would eventually launch Wall Street players would run the price up as high as they could first and then short it and drive it as low a they possibly could next. I feel like there is a very good chance that is exactly what has been playing out.
The key metrics of Bitcoin now is its development IMO. Price is arbitrary, what matters is having developers and startups build upon the bitcoin protocol to make it increasingly easy to be used by as many people as possible.
If bitcoin can change the way the world's monetary system work (in bigger magnitude), it doesn't matter how much the price swings on its way to get there.