This is the only activity you will ever see where advancement comes from failure! The move to advanced novice and intermediate is about when you are failing. Try a back off period with 10 to 20% less first then work back up and over if you are failing. The real question to me about move onto advanced novice or intermediate is how do you feel. Are the weights in general getting to a point where it is hard to recover? What is your age range? Those over 35 may need to move to advance novice and intermediate before someone in their 20's. Lifting iron is hard work and as you get older it is hard to recover.
I moved to advanced novice before a back off period on the squat simply because I wasn't feeling well. My body wasn't recovering like I felt it should. Learn to listen to your body. It is much better than hard and fast rules. Notice coach Rippetoe uses for most people a lot and has some slack in his advice. Everyone is different and responds differently. Moving from novice to advance novice to intermediate is not about the weight you do like the rip off of SS says it is about when you need to lighten up so your body can handle the stress and keep going instead of constantly hitting walls.
I think it is hard to move to advanced novice or intermediate for one lift. Especially if it is bench which you are doing every other workout or dead lift which is every 5th workout. When your squats hit a wall or you just feel like you are not recovering well anymore more to a light day. The heavier nature of the entire workout will affect your lighter lifts too. When you use all your energy getting the last rep on the squat you can bet it will affect your performance on the bench. You only have so much in the tank. If you look at practical programing you will see how the programs TM or TSSS variant will incorporate all lifts into the program. I would just back off and work back up until your squat hits a wall or you feel your recovery isn't where it should be. Then move to advanced novice or intermediate.