But the key points are basically two-fold.
One, there isn't a shortage of dollars. Nowhere close to one. The Fed learned from what happened to Europe last time, and has already announced swap lines.
Two, there isn't one generic "dollar" funding situation. In 2008, it was really about Europe. Now, we have lots of countries each with their own situation (which the Fed is watching closely).
Japan has probably been where most of the growth in the market has come from. They are deep into CLOs but have a fairly neutral funding position (they borrow/lend in USD), and Japan has a huge stock of dollars...so a crisis seems unlikely. Canada is another big one but, again, this is US branches of Canadian banks...not an imbalanced position. The big mystery is China, which seems to be getting dollars from nowhere, but like Japan they have a huge stock of dollar reserves.
The situation with EM is also not that simple. A lot have a huge stocks of dollars. The reason why some are getting into trouble is: bad monetary policy, borrowers with bad credit, and (lesser extent) dollar strength. The last is going to continue but Turkey, as an example, has been in this position for years (I noticed their issues 6 or 7 years ago). What is happening now changes nothing.
Definitely, we have seen surprising moves in GBP and CAD which suggested that people were looking for dollars quickly but JPY rallied...so...who knows? I don't think it is something to be unduly worried about. The US has supplied tons of dollars, China and Russia will keep kicking up a shit fit about this but the US isn't taking advantage of the situation, the Fed is providing the market with liquidity. We have SDRs, there was no issue with the supply of dollars before this point (in fact, the issue was there was too much)...so...I don't see what there is to worry about here.