What is better - Sony DWD22A or LiteOn?
The Sony is not really a Sony, it’s a LiteON branded as Sony. So it should answer your question pretty easily. 
Check this thread which should answer all your questions.
It is clear. But what drive I should buy??
The cheapest one…
Lite-On SOHW-1633s updated with BS0S firmware today.
Burn process starts… stuck at 1% for 4:32… buffer ready box empty… burn process failed… illegal disc… tried numerous brands of -r & -rw… same result every time…
Stop your crossposting now, this is at least the 7th thread where you post the same stuff in a few minutes :a . This unfriendly action does not increase your chance to get a solution of your problem. Read the sticky posting guidelines thread at the top of this forum.
I apologize… I thought it would increase my chances of getting my problem solved quickly…
just try another firmware
I would go for the Lite-On personally, even thought the Sony is re-branded, there have been some people saying the Sony use poorer quality parts, I dont think this is true, but it seems simpler to go for the Lite-On just in case, but as people have said, it doesnt really matter.
Ben 
This might not be relevant, but I opened up my LiteOn SOHW-812S and inside the component board was SONY 
So does Sony use LiteOn, or does LiteOn use Sony Does it matter
They (Sony & LiteOn) both are the same drive. LitOn manufactures the DVD drive for both LiteOn and Sony. As you found out Sony did the DESIGN work on the printed circuit board…