I want to set up an experiment where 50% of the welcome emails go out immediately (it's a triggered email by an API call), and the rest go out 30 minutes later. Please take a look at the flow steps. Is this correct? My concern is that those who received the welcome email immediately will also receive it 30 minutes later.
While this is workable as-is, I would recommend avoiding Activity Log "lookback filters" whenever you can, for the sake of your instance.
Instead, use the Random Sample to do something that can be checked outside of the ActLog itself, such as adding people to a Program with one of 2 statuses. Then use those statuses to determine whether to Wait or not.
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