A loop is actually the best way. Using arrayfun will only disguise the loop and cost you performance. Interestingly, cellfun with char inputs is faster than a for loop, but with a function handle (or anonymous function) is slower than a loop.
It would have been nicer to link the properties, but unfortunately, you can't link only part of a property.
What you might try (I haven't tested this), is to use panels instead of tiles. That way the Position property is relative to the panel (since that is the parent), which means the relative position is the same. This still wouldn't solve the issue of one axes containing more objects than another one.
