Write a Python function `even_position` that checks whether every even index in a given list contains an even number. The function should return `True` if all even indices contain even numbers, and `False` otherwise.
#### Example Usage
```python [main.nopy]
print(even_position([2, 3, 4, 5])) # Output: True
print(even_position([1, 2, 3, 4])) # Output: False
print(even_position([0, 1, 2, 3])) # Output: True
```
#### Constraints
- The input list will contain integers only.
- The list can be empty, in which case the function should return `True` (as there are no indices to check).