Honestly, it really depends on the situation and the seller, so you never really know. The final number is the most important, so if you are going to end up with the same bottom line, it may not matter.
If the seller is a bank, the less you ask from them, the better, so I would just say to offer the lower amount with no closing costs.
If you are working with a Realtor, you should really ask them. They should know the situation a bit better and know who the seller is and what they prefer. I have asked the seller's agent that a few times before, so we don't waste our time writing an offer that will get rejected in the end.
Good luck to you and I hope you get the home!
Coldwell Banker Residential