Is there any data from production systems available that confirms that is an issue in most/many real world applications (the lack of value types)? From the allo

Is there any data from production systems available that confirms that is an issue in most/many real world applications (the lack of value types)? From the allocation profiles I have seen in the applications I have seen most allocations in Java programs seem to be from strings, often in logging, or byte array buffers. Value types would no help here but compressed strings would.