I like to kind of separate my drop sets from my main lifts of the day, so for example I do 5x5 with whatever weight. I will pick a weight and either try to hit it for max reps, or multiple pauses or with a variation. (like high bar or conv if I pull sumo, or close/wide grip bench) It just depends what kind of progression you are trying to do. I try not to do a ton of drop sets because by then my work is already done, there comes a point when you are just fucking around.
One method I liked and gave me good results was using two seperate double progressons of 3-5 and 6-10, doing 3 sets of each. Sometimes I would hit a variation for the 3x10 work like front squats or dumbell presses.
Get stronger on your main work out. 5x5 is an excellent stand alone work out for strength. 5x10 is more hypertrophy (think 5/3/1 with BBB)
Nothing wrong with add ons, I just don't think you are getting the jist of them. Wendler once said that he regrets talking about Jokers. Not for the results, but for the way people were adding them to every work outs.
Add ons are just that, something you MIGHT add after your work out. Most well thought out programs do not leave much in the tank for "added" strength.
My suggestion would be to concentrate more on your main work out then going on "how you feel" to get more strength gains.
I do this, it's my favorite style of lifting. Work up to a rep PR, then do 2 sets after, dropping 10-20% each time. Or I'll just drop down and hit a 3x5, 5x7, 3x10, etc and try to hit a volume PR. I've always just called it reverse pyramiding