The 7.5" thin kerf are much thinner than the 10" thin kerf blades. I have both and use both. Typically you aren't cutting very thick material for strips, so putting the 7.5" blade on a 10" tool is common and saves wood.there are plenty of thin-kerf 10" blades on the market that are actually about 1/2 the thickness of a skilsaw blade, and give a much cleaner cut because they're generally used in fine woodworking, I even have a couple that are 3/64" and about 180TPI. the larger blades mean far les tearout, an important consideration with fibrous woods like WRC or EWC
For "cross cutting" operations, the larger blade and more teeth is going to give you a finer/better cut, however, cutting strips is almost an exclusively "ripping" operation and the last thing you need is more teeth, you want thin kerf to remove less wood (requires less power) and far fewer teeth (i.e. 24 on a 7.5" blade) designed for ripping. The fewer teeth give bigger gullets between teeth to let the courser fibers get clear of the cut. If you try and use a cross cut blade (i.e. 180 teeth) for ripping then you get a lot of burned wood and possibly ruined blade.