"Aero: Starting strength and Strong lifts both have novices making progress on deadlifts and squats multiple times a week. The squats and deadlifts on the same day is fine. "
Yeah, and a good fraction of those programs are misleading. It is pretty easy to progress multiple times a week and avoid injury when you are only squatting 95lbs and deadlifting 135lbs. I firmly believe that if you are going to do those movements which are so taxing on your lower back than you should be proficient in form with a sufficient level of strength before proceeding to squat and deadlift on the same day. Need I not mention one needs experience to “learn your limits” so a lifter can exercise within a regime that is both safe and effective. Too frequently new lifters do not understand their limits and they end up hurting themselves because of this.
As I said earlier, the deadlift and squat are both very technical lifts that require perfect form. The probability of someone maintaining good form after being fatigued decreases dramatically, especially in a beginner. Squatting will fatigue the lower back and has a chance of compromising form. The OP is also performing more than one set of the deadlift after the squat, which is not done in SL5x5.
It is for these reasons that I think squatting and deadlifting on the same day for someone who is inexperienced is a bad idea. Unless this person has a coach or the aforementioned experienced they will probably injure themselves. I think it would be wise to perform sets of singles for the deadlift with short rest periods too, just to emphasize form. An example would be:
By resetting after each rep, you have the opportunity to check yourself with each lift and ensure that you can perform the next rep without risk of injury. If you have to take more than 20-30 seconds to rest, then you are most likely done for the day.