There is no way an experienced or even intermediate lifter can do 4-5 reps with his true max one month ago unless he is on some serious steroid cycle.
Say a lifter has a 170kg bench press after the base cycle. Then in your fantasy world he will have 170kg x 4 after the intense period, which according to exrx 1rm calc would give you a 185kg 1RM. This is absolutely not going to happen for the majority of trainees.
Also, lifting with too high intensities might be detrimental to overall progress. Provided a lifter actually makes it through this program without an injury, he sure will be stronger, but not anywhere near the numbers that you prescribe. Even a 2.5kg-5kg gain over a 2 month period for an intermediate/experienced lifter must be considered good.
You'd probably be interested in checking out other methods of training too. The smolov routines are usually good, but far too many good people have burnt out on them as well.
Another possibility is that strength may increase till around 6 weeks, and then the intensity of the sessions will start to break you down, and you might actually regress. There's been some research about how long very hard training can be upheld for maximum results. Read up on the litterature in the field.
For a newbe that eats a lot and focus on the bench, this program might just give that extra boost you're looking for.