Some years ago I took a look at this.
I cut open a genuine Honda filter, and compared it to 7 or 8 from other manufacturers - Fram, Champion, Halfords (Englands Biltema), Blue Print, and a few others from the local parts shops.
The difference was very surprising. The Honda had the thickest, and the most filter material (I had no way of actually checking the quality of the material other than size and feel). It also had good quality viton seals for the anti-drain and over pressure valves which would wok better at low/high temperatures. The filter end plates were metal and well bonded to the filter material.
None of the others had viton seals, but cheap nitrile, and in some cases the surface the seal rested on wasn't flat or smooth (spot welds), so they wouldn't seal properly anyway. Some only had half as much filter material, that was very thin. Some had card board end caps with just a little glue holding them in place. One had such a weak spring on the over pressure valve (that didn't seal properly anyway), that 99% of the oil would have probably by-passed the filter element itself.
So overall, there was a big difference in the ones I looked at, and none of them came anywhere close to the overall quality of the genuine filter.
Whether it makes any difference to the life of the engine or not, who knows. Personally, I'd pay a few extra kronor for the genuine, especially as I only use 1 or 2 a year.