Taper Core set question

[Amit Shtriker]

Following forum members' suggestion, I decided to try a new set of taper core mediums for my 4 string bass (I also remember that when I got my Smith, with a Smith set, it sounded even more "rude" and responsive than now).

However, apart from the problem that the music store only had a 5 string set (which I had to buy and give the 5th string to a friend of mine, who's a 5 string player), I see that unlike stated by KS, only the A and E strings are Taper Core, and the D string is a regular .063 string. And another thing, it looks like a regular round wound 4 string set, and there is an additional printing in blue that says "TAPER CORE" on top and "5 STRING" on bottom.

Is it normal, and will I have the same result of this set even though the D string is not a taper core one? Tomorrow my bass is going to be set up with these strings, so I hope there is nothing wrong with this set..