In my own experience with cash buyers, you pay for the buyer portion of the title policy and the seller pays for the transfer taxes unless the village has stipulated that the buyer pays transfer points. In Lake Forest and Lincolnshire for example it is quite sizable and can be calculated and negotiated into the net price of sale. Paying cash on a bank owned, REO usually has other expenses too. Seller doesn't pay for staked survey and often if there is an association the buyer is on the hook for the back due HOA. If you have a cash deal with no lender involved it still is advisable to get the buyer title policy and pay for a staked survey. Always use an attorney to make sure the prorations are right and the deed gets recorded properly. In Illinois we are not an escrow closing state so pay for the attorney services to make sure you are represented legally at the closing table. As agents, we can't give legal advice and if something shows up on the title or a neighbor shed goes into your yard onto easement you have legal counsel.
As to the rationale to go in with a cash offer, it is hard to justify tying up cash with mortgage money so cheap. REO sellers would rather sell for more money assuming the appraisal comes out right, than close faster to an investor. Plus Freddie Mac and Fannie Mae give preference for owner occupied homes so if you are an investor, they would rather sell to a family to use as primary residence than an investor. The neighborhood stabilzation program is to get home buyers in houses and not to sell at a discount faster to an investor class buyer to looking to flip the house. Cash means you can close in one to two weeks with title work hurdles. The REO bank would rather close in 2 months for a higher price to a family that will stabilize the community.
Best of luck, fell free to call me if you care to discuss further.