So, the EU commissioners will say all they can to keep the UK together.
However ... the tone will rapidly change if Scotland does go independent. There is zero chance that the EU will risk forcing a prosperous, educated country that is already compliant with EU laws out and make them spend several years re-applying, especially when there is a real chance that England will be leaving.
The EU is a business, a very lucrative one. They need the rich countries to pay for the poor, uneducated, mafia-riddled ones to the south and the east. They already lost oil-rich Norway years ago, they won't make the same mistake again.
Just watch, the EU will arrange for "special status" to kick in on the very first day of independence, nothing will change.