老貓不知道您當地是否有此規定,然而一般正規官方的資料的建議如下 (並沒有提及您所說的部份)
4. Other damage to walls
Generally, minor marks or nicks in walls are the landlord's responsibility as normal wear and tear (for example, worn paint caused by a sofa against the wall). Therefore, the tenant should not be charged for such marks or nicks. However, a large number of holes in the walls or ceiling that require filling with plaster, or that otherwise require patching and repainting, could justify withholding the cost of repainting from the tenant's security deposit. In this situation, deducting for painting would be more likely to be proper if the rental unit had been painted recently, and less likely to be proper if the rental unit needed repainting anyway. Generally, large marks or paint gouges are the tenant's responsibility
資料來源
http://www.dca.ca.gov/publications/landlordbook/sec-deposit.shtml
至於您是否應該負責,就由您個人與房東依據上述的原則來協商了...