I had skin to skin with DS in theatre. I specifically requested it. I wanted him with me in his naked gooey state. I also said I didn't want him going to the resus table and being suctioned etc unless it was absolutely necessary. As soon as DS was born the OB bought him up close enough for me to touch his little foot then pased him to the midwife who bought him to me for skin to skin. The arguement for wrapping them up tightly is usually that the theatre is cold but nothing will keep bub warmer than having him skin to skin with you receiving your body heat and with a heated blanket over both of you.
Good Luck