Probably. When the vaccine comes.
Thing is, it took covid a couple of months to go from 1 to hundreds of thousands. Opening now when there are tens of thousands of active cases, will essentially make it much easier for it to reach those large numbers it had. So in some way, it is totally out of control, and it is very likely that in 2 months, every country that is opening, will be in the same place they were in April.
The only safe way to open, is when the situation gets under control. That means, that you know exactly who is infected, and you can track everyone. What South Korea or Taiwan have been doing. Taiwan was widely expected to be the second most hit country in the world (after China). They have 7 deaths and 440 cases (in total). Patient 0 in South Korea was on the same day as in the US. They have 263 deaths compare to US's 93k.
So, countries that are opening pretending that they have the situation under control are fooling themselves. Until the number of daily cases reaches single digits, it is impossible to have the situation under control. So, the hope is that the exponential factor will be lower than it was before (cause people might take it more seriously, use masks, some gatherings are banned etc), but it is still gonna be an exponential function. This means only one thing: there is gonna be a repeat of April/May and there will be either be more lockdowns in the future, or the number of total deaths in the future would be significantly higher than it has been so far. Even with 'the worst has passed', it is extremely likely that the number of victims is gonna be a few times it is now. It will probably take longer, but the second wave is gonna come. This is a total certainty, unless a vaccine comes faster than it.