I don’t know if this is only an example or its actually what you are doing, but the weights going 5 lbs up per set seem a little tight to me, the only time I would go up so little is if in trying to hit a near max single or maybe double and I feel like I’m nearing it but im not quite there.
About the progression, if you want to make sure you hit the reps before increasing the weight, IMO it would be better to do something like a JM Blakely type progression model of 6x6, or 4x6 in your case. I don’t know if you are familiar with it, it basically goes by a certain number of reps you must hit, so say you decide you gonna hit 36 reps in 6 sets. You work up to your 6RM according to the program, then do the same weight 5 more sets and you repeat it weak after week until you hit 6 on sets then move up. Keep in mind overall volume must be low if you are hammering 6RMs on multiple lifts each week, as well as only doing it once a week at that intensity per lift, and keeping workout density low (i.e longer rest periods).
Or if you insist on changing the weights per set, as Allberg said, a wave loading type progression model would work but even then you probably want slightly larger difference per set than 5lbs except for smaller movements like curls or triceps extensions, maybe military presses depending on your strength level, otherwise you either start too heavy and that’s why you can’t finish the rest of your sets properly, or too light and you won’t get the desired stimulation. To me it seems that way anyway.