I apologize if the terminology is off for the components of a staircase. Please correct me in comments and I'll update the question.
My home has laminate stair treads that were fastened down with what looks like construction adhesive and 3 nails ~ 1" from the back in the stringer locations on top of what looks like an mdf/plywood (not sure what this piece of blank board is - false tread?) . They squeak like crazy and lift up in the front on several steps (presumably over the years the laminate treads have separated from this board.
( I have carpet squares on the steps right now, so the center stringer screws would not be visible but the outer 4 would be if I went with that approach )
I was going to pull them all up, scrape and re-apply sealant, and and hit them with 6 trim screws + countersink them and cover with a filler pen. Does that sound like an appropriate solution?
I was thinking of adding some type of cork/padding in between instead of the sealant but still use the trim screws. Is that a viable option?
(Not my stairs/vid, but I think they look a lot like this situation but I don't have the moulding. https://www.youtube.com/watch?v=9iOsbprpe5g&t=4m35s)