So I have a line of thought here. Most event sourced systems already have fully-consistent read models in addition to the log itself. Namely, the tables used to track events by aggregate or by event type. They could be reasonably reconstructed from the event log, but they are there as a convenience (an index really) and updated in a fully consistent manner with the event log.
I wonder if it is necessary then that all my read models be eventually consistent. Maybe some of them (especially set-based data) could be fully consistent write models that also get propagated to the read side (if separate databases are used for scaling reads... which is the whole reason for eventual consistency anyway). Then you could validate the set constraint at write time, and even guarantee that duplicates cannot be written (unique index will raise an error if violated while the use case is running) even if the use case checked first, but missed the duplicate due to concurrency. Then there would be no need to make the use cases sequential.
You can definitely do that, and it will work. A unique index will still force sequential operations, but only on that SQL call, rather than the entire usecase, so the likely hood of failure is much smaller.
The only issue is that you have to handle failing usecases. Say the email was written to the read model at the start of the usecase, but some business operation failed and the event was never actually stored in the log. Now you have a read model with invalid data.
If your event log and constraint projections are stored in the same SQL DB, you can solve this with a transaction around the entire usecase (we do this).
There is still the issue of potential failure. Ie. too many requests hitting the DB, but it's not one you need to deal with at the start. You'll only face this when you have massive numbers of people registering at once. We're currently adding monitoring for this, just to warn us if we're reaching that threshhold. It's unlikely we'll reach it, we're not building Facebook/Uber, but it's reassuring to know it's there.
Yes, I was assuming same database as it is the only convenient way to get full consistency. With separate databases, you pretty much have to use eventual consistency. (Well, distributed transactions exist too, but become problematic under load.)