Came across this issue just recently and it took me a very long time to nail down, but in the end it turned out to be this module.
What is happening is that when a new entity bundle is exported to a feature for deployment purposes, when Drupal is bootstrapped the Entity API module throws an Unsupported operand types error.
The cause is that this module is creating an entry for the new entity bundle during hook_entity_property_info_alter() when it's making the reference-able target as it's not checking if the target actually exists first, resulting in a blank value added to the $info array.
It's a super simple fix for the issue that unfortunately took me a large amount of time.
Patch incoming.
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